160,512 research outputs found
Monomial basis in Korenblum type spaces of analytic functions
[EN] It is shown that the monomials A = (z(n))(n=0)(infinity) are a Schauder basis of the Frechet spaces A(+)(-gamma), gamma >= 0, that consists of all the analytic functions f on the unit disc such that (1 - vertical bar z vertical bar)(mu)vertical bar f(z)vertical bar is bounded for all mu > gamma. Lusky proved that A is not a Schauder basis for the closure of the polynomials in weighted Banach spaces of analytic functions of type H-infinity. A sequence space representation of the Frechet space A(+)(-gamma) is presented. The case of (LB)-spaces A(-)(-gamma), gamma > 0, that are defined as unions of weighted Banach spaces is also studied.Research of the third author was partially supported by the Vaisala Foundation of the Finnish Academy of Sciences and Letters.Bonet Solves, JA.; Lusky, W.; Taskinen, J. (2018). Monomial basis in Korenblum type spaces of analytic functions. Proceedings of the American Mathematical Society. 146(12):5269-5278. https://doi.org/10.1090/proc/14195S526952781461
Unbounded Bergman projections on weighted spaces with respect to exponential weights
[EN] There are recent results concerning the boundedness and also unboundedness of Bergman projections on weighted spaces of the unit disc in special cases of rapidly decreasing weights, i.e. "large" Bergman spaces. The aim of our paper is to show that the cases of boundedness are largely exceptional: in general the Bergman projections are unbounded. In addition we give a new, more functional analytic proof for the known central boundedness case which also enables us to transfer our results to harmonic Bergman spaces.The research of Bonet was partially supported by the project MCIN PID2020-119457GB-I00/AEI/10.13039/501100011033. The research of Taskinen was partially supported by the Vaisala Foundation of the Finnish Academy of Sciences and Letters.Bonet Solves, JA.; Lusky, W.; Taskinen, J. (2021). Unbounded Bergman projections on weighted spaces with respect to exponential weights. Integral Equations and Operator Theory. 93(6):1-21. https://doi.org/10.1007/s00020-021-02680-2S121936Arroussi, H.: Function and operator theory on large Bergman spaces. Ph.D. thesis, Universitat de Barcelona (2016)Bonet, J., Lusky, W., Taskinen, J.: Solid hulls and cores of weighted -spaces. Rev. Mat. Complut. 31, 781–804 (2018)Bonet, J., Lusky, W., Taskinen, J.: Solid cores and solid hulls of weighted Bergman spaces. Banach J. Math. Anal. 13(2), 468–485 (2019)Constantin, O., Pelaéz, J.: Boundedness of the Bergman projection on -spaces with exponential weights. Bull. Sci. Math. 139, 245–268 (2015)Dostanić, M.: Unboundedness of the Bergman projections on spaces with exponential weights. Proc. Edinb. Math. Soc. 47, 111–117 (2004)Dostanić, M.: Integration operators on Bergman spaces with exponential weight. Rev. Mat. Iberoam. 23, 421–436 (2007)Dostanić, M.: Boundedness of the Bergman projections on -spaces with radial weights. Publ. Inst. Math. (Belgr.) 86, 5–20 (2009)Harutyunyan, A., Lusky, W.: On -subspaces of holomorphic functions. Studia Math. 198, 157–175 (2010)He, Z., Lv, X., Schuster, A.: Bergman spaces with exponential weights. J. Funct. Anal. 276, 1402–1429 (2019)Hedenmalm, H., Korenblum, B., Zhu, K.: Theory of Bergman Spaces, Graduate Texts in Mathematics, vol. 199. Springer, New York (2000)Lusky, W.: On the Fourier series of unbounded harmonic functions. J. Lond. Math. Soc. 61(2), 568–580 (2000)Lusky, W.: On the isomorphism classes of weighted spaces of harmonic and holomorphic functions. Studia Math. 175, 19–45 (2006)Lusky, W., Taskinen, J.: Bounded holomorphic projections for exponentially decreasing weights. J. Funct. Spaces Appl. 6(1), 59–70 (2008)Pavlović, M.: On harmonic conjugates with exponential mean growth. Czechoslov. Math. J. 49(4), 733–742 (1999)Pavlović, M., Peláez, J.A.: An equivalence for weighted integrals of an analytic function and its derivative. Math. Nachr. 281(11), 1612–1623 (2008)Peláez, J.A., Rättyä, J.: Bergman projection induced by radial weight. Adv. Math. 391, 107950 (2021)Zeytuncu, Y.E.: -regularity of weighted Bergman projections. Trans. Am. Math. Soc. 365, 2959–2976 (2013)Zhu, K.: Operator Theory in Function Spaces, Mathematical Surveys and Monographs, vol. 138, 2nd edn. American Mathematical Society, Providence (2007
Prof. Th. W. Adorno and the author Hans Erich Nossack.
Prof. Th. W. Adorno and the author Hans Erich Nossack at a reception of Insel Verlag, Buchmesse Frankfurt 1966LB
Nowe spojrzenie na planowanie architektury mieszkaniowej w afryce subsaharyjskiej
The author shares his reflections on state of art in housing and urban planning, deficiencies, expectations and possibilities in the Sahel region of Africa. He notices, that the housing problem in Africa is one of the challenges, which should be solved in order to recover life dignity of African people and secure their rights to traditional family life in acceptable conditions. The paper describes the studies on the typical dispersed urban structures and the need to foster this type of settlement structure and proposals of introduction of new on light steel frame housing system in the area of Sahel, combining the traditional way of building houses with modern technology. The particularly analysed case, is the housing problem in the Republic of Chad. The author presents the basic discussion on this topic and his architectural proposals. Unfortunately, the gap between the needs and the financial feasibility of housing construction in this area, makes this project already at the starting point extremely difficult to be realized without external subventions.Problem mieszkaniowy w Afryce jest jednym z wyzwań, które należy rozwiązać, aby Afrykanie mogli odzyskać godność życiową i zabezpieczyć swoje prawa do tradycyjnego życia rodzinnego w akceptowalnych warunkach. W artykule opisano badania nad typowymi rozproszonymi strukturami miejskimi i potrzebą wspierania tego typu struktur osadniczych oraz propozycji wprowadzenia nowego systemu konstrukcji domów, opartym na lekkim szkielecie stalowym, łączącym tradycyjny sposób budowania domów z nowoczesną technologią. Przypadkiem szczególnie analizowanym jest problem mieszkaniowy w Republice Czadu. Autor przedstawia podstawową dyskusję na ten temat i swoje propozycje architektoniczne. Niestety luka między potrzebami mieszkaniowymi w Czadzie a finansową wykonalnością budownictwa mieszkaniowego w tym obszarze sprawia, że projekt ten, już w punkcie wyjścia, jest niezwykle trudny do realizacji bez uzyskania zewnętrznych dotacji
Solid hulls and cores of weighted H-infinity-spaces
[EN] We determine the solid hull and solid core of weighted Banach spaces H-upsilon(infinity) of analytic functions functions f such that upsilon vertical bar f vertical bar is bounded, both in the case of the holomorphic functions on the disc and on the whole complex plane, for a very general class of radial weights upsilon. Precise results are presented for concrete weights on the disc that could not be treated before. It is also shown that if H-upsilon(infinity) is solid, then the monomials are an (unconditional) basis of the closure of the polynomials in H-upsilon(infinity). As a consequence H-upsilon(infinity) does not coincide with its solid hull and core in the case of the disc. An example shows that this does not hold for weighted spaces of entire functions.The research of Bonet was partially supported by the project MTM2016-76647-P. The research of Taskinen was partially supported by the Vaisala Foundation of the Finnish Academy of Sciences and Letters.Bonet Solves, JA.; Lusky, W.; Taskinen, J. (2018). Solid hulls and cores of weighted H-infinity-spaces. Revista Matemática Complutense. 31(3):781-804. https://doi.org/10.1007/s13163-018-0265-6S781804313Anderson, J.M., Shields, A.L.: Coefficient multipliers of Bloch functions. Trans. Am. Math. Soc. 224, 255–265 (1976)Bennet, G., Stegenga, D.A., Timoney, R.M.: Coefficients of Bloch and Lipschitz functions. Ill. J. Math. 25, 520–531 (1981)Bierstedt, K.D., Bonet, J., Galbis, A.: Weighted spaces of holomorphic functions on bounded domains. Mich. Math. J. 40, 271–297 (1993)Bierstedt, K.D., Bonet, J., Taskinen, J.: Associated weights and spaces of holomorphic functions. Stud. Math. 127, 137–168 (1998)Blasco, O., Galbis, A.: On Taylor coefficients of entire functions integrable against exponential weights. Math. Nachr. 223, 5–21 (2001)Blasco, O., Pavlovic, M.: Coefficient multipliers on Banach spaces of analytic functions. Rev. Mat. Iberoam. 27, 415–447 (2011)Bonet, J., Taskinen, J.: Solid hulls of weighted Banach spaces of entire functions. Rev. Mat. Iberoam. 34, 593–608 (2018)Bonet, J., Taskinen, J.: Solid hulls of weighted Banach spaces of analytic functions on the unit disc with exponential weights. Ann. Acan. Sci. Fenn. Math. 43, 521–530 (2018)Constantin, O., Peláez, J.A.: Boundedness of the Bergman projection on L p -spaces with exponential weights. Bull. Sci. Math. 139(3), 245–268 (2015)Dostanić, M.R.: Multipliers in the space of analytic functions with exponential mean growth. Asymptot. Anal. 65(3–4), 191–201 (2009)Dostanić, M.-R.: Integration operators on Bergman spaces with exponential weight. Rev. Mat. Iberoam. 23(2), 421–436 (2007)Jevtić, M., Pavlović, M.: On the solid hull of the Hardy-Lorentz space. Publ. Inst. Math. (Beogr.) (N.S.) 85(99), 55–61 (2009)Jevtić, M., Vukotić, D., Arsenović, M.: Taylor Coefficients and Coefficient Multipliers of Hardy and Bergman-Type Spaces. RSME Springer Series, vol. 2. Springer, Berlin (2016)Lindenstrauss, J., Tzafriri, L.: Classical Banach Spaces I. Springer, Berlin (1977)Lusky, W.: On the Fourier series of unbounded harmonic functions. J. Lond. Math. Soc. 2(61), 568–580 (2000)Lusky, W.: On the isomorphism classes of weighted spaces of harmonic and holomorphic functions. Stud. Math. 175, 19–45 (2006)Pau, J., Peláez, J.A.: Volterra type operators on Bergman spaces with exponential weights. Contemp. Math. 561, 239–252. Topics in complex analysis and operator theory. American Mathematical Society, Providence (2012)Pavlović, M.: On harmonic conjugates with exponential mean growth. Czech. Math. J. 49, 733–742 (1999)Pavlović, M.: Function Classes on the Unit Disc: An Introduction. De Gruyter Studies in Mathematics, vol. 52, p. 449. De Gruyter, Berlin (2014)Peláez, J.A., Rättyä, J.: Weighted Bergman Spaces Induced by Rapidly Increasing Weights, vol. 227, no. 1066, pp. vi+124. American Mathematical Society (2014)Shields, A.L., Williams, D.L.: Bounded projections, duality and multipliers in spaces of analytic functions. Trans. Am. Math. Soc. 162, 287–302 (1971
Seeing the world anew : the radical vision of Martin Waldseemüller's 1507 & 1516 world maps /
9781929154470 (ISBN). 192915447X (ISBN). First edition 2012. Accompanied by 2 foldeds map in front and back pockets: 1507 map -- 1516 map.; Includes bibliographical references: pages 98-107.; Maps from pockets also available online http://nla.gov.au/nla.map-vn6254227; Original version of the 1507 map: Universalis cosmographiae secundum Ptholomaei traditionem et Americi Vespucii alioru que lustrationes. [St. Dié, France? : s.n., 1507]; Original version of the 1516 map: Carta marina, navigatoria Portugallen, navigationes atque tocius cogniti orbis terre marisque formam naturamq[u]e situs et terminos nostris temporibus recognitos et ab antiquorum traditione differentes eciam quor[um] vetusti non meminerunt auctores hec generaliter indicat / consumatum est in oppido S. Deodati compositione et digestione Martini Waldseemuller Ilacomili. [St. Dié, France? : s.n., 1516]. Prologue: In a Renaissance Vision, a Glimpse of the Modern / John W. Hessler -- "An island surrounded on all sides by sea" : The World Map, 1507 / John W. Hessler -- "Land of Cuba, part of Asia" : The Carta marina, 1516 / Chet Van Duzer -- Epilogue: A Renaissance That Resonates Still / John W. Hessler -- Notes -- Afterword / Ralph E. Ehrenberg -- About the authors -- Acknowledgments -- The Maps: The 1507 World Map, 12 sheets, with commentary -- Composite: front pocket -- The 1516 Carta marina, 13 sheets, with commentary -- Composite: back pocket
Klimat społeczny w szkole inkluzyjnej
Author presented in this paper theoretical approach to the building of social climate in an inclusive school. The publication indicatessome tendencies and directions of changes to improve the functioning of these institutions and to implement the idea of inclusive education.Autorka przedstawiła w artykule teoretyczne ujęcie zagadnienia związanego z budowaniem klimatu społecznego w szkole inkluzyjnej. W publikacji ukazano pewne dążenia i kierunki zmian, jakich należy dokonywać w masowych szkołach, aby poprawić jakość funkcjonowania tych placówek, tak by kierowały się one ideą edukacji włączającej
Ewolucja programowa FDP w polityce wschodniej w latach 1949-1969 w świetle nowych zasobów Archiwum Niemieckiego Liberalizmu
Zasadniczym celem artykułu jest analiza działalności programowej FDP w polityce wschodniej Republiki Federalnej Niemiec w latach 1949-1969. Autor wykorzystał nowe zasoby Archiwum Niemieckiego Liberalizmu w Gummersbach, co umożliwiło przedstawienie nowej oceny wpływu FDP na politykę wschodnią Republiki Federalnej Niemiec.The main goal of the article is to analyze the FDP's program activities in the eastern policy of the Federal Republic of Germany in the years 1949-1969. Of great importance here is the fact that the author used in this work new archives from the Archives of German Liberalism in Gummersbach. This enabled him to present a new assessment of the FDP's impact on the eastern policy of the Federal Republic of Germany
Zasady szacowania gruntów w postępowaniach scaleniowych w Polsce
The subject of the study was the principles of land estimation used for the purpose of consolidation
proceedings, as they are applied in Poland.
The work examines the legal conditions relating to the estimation of land for the purposes of
consolidation. Documents prepared in the years 2005–2017 concerning land estimation (resolutions
of the consolidation participants, and protocols from the value estimates) have been
collected for 41 consolidated sites, located in 28 districts of 11 voivodships (regions). A survey
was conducted among the surveyors-designers of the consolidation proceedings, consisting of
19 questions. In the current year, the co-author of the present article was present at meetings of
consolidation proceedings’ participants, convened in order to determine the rules for estimating
land value on two sites located in different regions, and the material she collected during those
meetings was used in the article.
The collected data were subjected to an analysis, which showed that within Poland there is no
homogeneity in the method of estimating land value for the purpose of consolidation proceedings,
and that the method used to determine the value of land, taking into account the 1-hectare
estimated rate, and the price of 1dt of rye grain, according to the provisions of the agricultural
tax, is incompatible with the principles for the valuation of agricultural real estate, as specified in
the law on real estate management.Przedmiotem badań były zasady szacowania gruntów stosowane w postępowaniach scaleniowych w Polsce.
W ramach pracy przeanalizowano uwarunkowania prawne odnoszące się do szacunku gruntów na potrzeby scaleń. Zebrano dokumentację sporządzoną w latach 2005-2017 dotyczącą szacunku gruntów (uchwały uczestników scalenia i protokoły z przeprowadzonego szacunku) dla 41 obiektów scaleniowych, położonych na terenie 28 powiatów z 11 województw. Przeprowadzono ankietę wśród geodetów-projektantów scaleń, składającą się
z 19 pytań. Współautorka artykułu w bieżącym roku była obecna na spotkaniach uczestników scalenia, zwołanych w celu ustalenia zasad szacowania gruntów na dwóch obiektach, zlokalizowanych w różnych województwach i zebrane materiały dotyczące tych spotkań wykorzystane zostały w artykule.
Zgromadzone dane poddano analizie, która wykazała, że w Polsce nie ma jednolitości
w sposobie szacowania gruntów na potrzeby postępowań scaleniowych oraz że stosowany sposób określania wartości gruntów z uwzględnieniem stawek szacunkowych 1 ha oraz ceny 1dt żyta wg przepisów o podatku rolnym jest niezgodny z zasadami wyceny nieruchomości rolnych określonymi w ustawie o gospodarce nieruchomościami
Ograniczenia wolności słowa w Internecie
The development of Internet services lead to many changes in forms of expression of our opinions and ideas. The author shall discuss whether the term “freedom of speech” is still suitable for modern times, regarding the conversations in the social media. As we all know, the freedom of speech and the freedom of expression were never absolute and certain limitations of them are completely legal and necessary. However, as the author will try to prove, there are some serious concerns about executing such limitations online as well as effectively proving if someone’s rights have been violated due to excess of freedom of expression. The possible ideas of fighting the hate speech and other acts of trespassing the right to free expression shall also be presented.Rozwój usług Internetowych spowodował wiele zmian w sposobach wyrażania naszych opinii i pomysłów. Autor przeprowadzi rozważania odnośnie tego czy określenie “wolność słowa” jest wciąż adekwatne do współczesnych czasów, odnosząc się do rozmów w przestrzeni mediów społecznościowych. Powszechnie wiadomo, że wolność słowa i wolność wypowiedzi nigdy nie były absolutne i pewne ich ograniczenia są całkowicie legalne oraz konieczne. Jednakże, jak autor spróbuje wykazać, istnieją poważne wątpliwości odnośnie wykonalności takich ograniczeń w sieci, a także efektywnego dowodzenia, że cudze prawa zostały naruszone w związku z przekroczeniem granic wolności wypowiedzi. Propozycje możliwych rozwiązań w walce z mową nienawiści i innymi przejawami przekraczania prawa do wolności wypowiedzi także zostaną zaprezentowane
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