1,985 research outputs found
Remarks on a theorem of Taskinen on spaces of continuous functions
Get PDFWe clarify and prove in a simpler way a result of Taskinen about symmetric operators on C(K-n), K an uncountable metrizable compact space. To do this we prove that, for any compact space K and any n is an element of N, the symmetric injective n-tensor product of C(K)(⊗) over cap C-n(s,epsilon)(K), is complemented in C((BC(K)*)), a result of independent interest. The techniques we develop allow us to extend the result in several directions. We also show that the hypothesis of metrizability and uncountability cannot be removedDirección General de Investigación Científica y Técnica (España)Depto. de Análisis Matemático y Matemática AplicadaFac. de Ciencias MatemáticasTRUEpu
Singular perturbation Dirichlet problem in a double-periodic perforated plane
No full textWe show that the spectrum of the Dirichlet problem for the Laplace operator -Δ in the plane R2 perforated by a double-periodic family of holes contains any a priori number of gaps, for sufficiently large holes. While this result was already known in the case of circular holes, we consider here a more general geometric setting with holes of the shape (Formula Presented.)
On a problem of topologies in infinite dimensional holomorphy
No full textThe authors solve an interesting open problem concerning the equivalence of the compact-open topology τ0 and the Nachbin ported topology τω on spaces of holomorphic functions. (See, for example, the book by S. Dineen [Complex analysis in locally convex spaces, North-Holland, Amsterdam, 1981; MR0640093 (84b:46050)] for background.) Let H(U) denote the space of complex-valued holomorphic functions on an open subset U of a complex Fréchet-Montel space F. Ansemil and S. Ponte [Arch. Math. (Basel) 51 (1988), no. 1, 65–70; MR0954070 (90a:46109)] showed that these two topologies agree on H(U) for balanced U if and only if, for every natural number n, P(nF) is a Montel space. Using this result, they showed that for balanced open subsets U of certain non-Schwartz, Fréchet-Montel spaces, τ0=τω. Earlier, J. Mujica [J. Funct. Anal. 57 (1984), no. 1, 31–48; MR0744918 (86c:46050)] had shown that τ0=τω for Fréchet-Schwartz spaces. It is not hard to see that the two topologies differ if F is not Montel.
The authors' counterexample is the Fréchet-Montel space F of Taskinen [Studia Math. 91 (1988), no. 1, 17–30; MR0957282 (89k:46087)]. The authors observe that the complete symmetric projective tensor product Fs⊗ˆπF contains an isomorphic copy of l1. Consequently, P(2F) cannot be Montel, and the result follows.Depto. de Análisis Matemático y Matemática AplicadaFac. de Ciencias MatemáticasTRUEpu
Solid hulls of weighted Banach spaces of entire functions
Get PDF[EN] Given a continuous, radial, rapidly decreasing weight v on the complex plane, we study the solid hull of its associated weighted space H¿v(C) of all the entire functions f such that v|f| is bounded. The solid hull is found for a large class of weights satisfying the condition (B) of Lusky. Precise formulations are obtained for weights of the form v(r)= exp(¿arp),a>0,p>0. Applications to spaces of multipliers are included.The research of Bonet was partially supported by MTM2013-43540-P, GVA Prometeo II/2013/013 and GVA ACOMP/2015/186. The research of Taskinen was partially supported by the Magnus Ehrnrooth and the Vaisala Foundations.Bonet Solves, JA.; Taskinen, J. (2018). Solid hulls of weighted Banach spaces of entire functions. Revista Matemática Iberoamericana. 34(2):593-608. https://doi.org/10.4171/RMI/996S59360834
Rakennedetaljikirjasto
Get PDFTämän opinnäytetyön tavoitteena oli luoda Arkta Rakennus Oy:lle detalji kirjasto. Detalji kirjaston luominen toteutettiin keväällä 2021 Arkta Rakennus Oy:n työmai den toimihenkilöitä haastattelemalla. Työ rajattiin koskemaan betonirunkoisia taloja, rakennuksen sisäpuolisia asennusdetaljeja ja niiden toteutuksia.
Detalji kirjaston tarve sekä rakenneosat, jotka toistuivat jatkuvasti ja joihin ei kui tenkaan ollut vakioituja ratkaisuja selvitettiin työmaiden toimihenkilöitä haastatte lemalla. Apuna haastatteluissa toimi jo edelliset haastattelut, sekä työmaakierros jotta ongelmakohdat saatiin konkreettisimmaksi.
Detalji kirjasto luotiin yrityksen halusta ja tarpeesta luoda vakioituja rakennerat kaisuja työmaille. Opinnäytetyön liitteeksi luotiin detalji kirjasto, joka toimii työmaiden yhteisenä tietolähteenä.
Työn toteutukseen käytettiin Arkta Rakennus Oy:n työmaatoimihenkilöiden koke musta eri asennusratkaisuista, toimivuudesta ja huollettavuudesta. Haastattelui den tukena käytettiin RATU-kortistoa, rakennepiirustuspankki SokoPro:ta sekä aiheeseen liittyvää kirjallisuutta.
Työn lopputuloksena saatiin luotua detalji kirjastolle pohja ja runko, joskin tieto lähteenä toimiva detalji kirjasto tarvitsee jatkuvaa päivitystä ja kehitystä, jotta siitä saataisiin maksimaalinen hyöty irti.The aim of this thesis was to create a detail library for Arkta Rakennus Oy. The detail library was created in the spring of 2021 by interviewing the employees of Arkta Rakennus Oy. The work was limited to concrete frame houses, installation details inside the buildings and their implementations.
The need for a detail library and a need for the components that were constantly repeated for which there was no standardized solutions was conducted by interviewing the construction site employees. The interviews were assisted by previous interviews as well as the accessibility of the site visits.
The detail library was created for Arkta Rakennus Oy because of their want and need to create a standardized structural solution for construction sites. The detailed library was created as an appendix to this thesis which serves as one of the information sources in the construction sites. The experience in different installation solutions, functionality and maintainability of Arkta Rakennus Oy´s employees was used for the execution of this thesis. The interviews were supported by the RATU- file, structural drawing bank SokoPro as well as related scientific literature.
As a result of this thesis a detail library was created, the detail library consists of a fundament and a frame. The detail library works as a repository that needs to be constantly updated and regenerated, to get the most out of it
Spectral gaps for the linear water-wave problem in a channel with thin structures
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Localization of eigenfunctions in the Dirichlet beaker
Get PDFWe construct the asymptotics of the eigenpairs of the Dirichlet problem for the Laplace operator in a thin-walled beaker and prove the localization effect for the functions near the bottom edge, a smooth closed contour, of the beaker. The main asymptotic terms are described by the eigenpairs of an ordinary differential equation on the edge and by the single eigenvalue belonging to the discrete spectrum of the Dirichlet Laplacian in an (Formula presented.) -shaped infinite waveguide. The corresponding eigenfunctions are shown to decay exponentially at some distance from the edge. Also, we find the asymptotics of eigenvalue sequences generated by planar Dirichlet problems on the bottom and walls of the limit beaker of zero thickness. Open questions related to other sequences of eigenvalues are discussed
Why Is Apolipoprotein CIII Emerging as a Novel Therapeutic Target to Reduce the Burden of Cardiovascular Disease?
No full textApoC-III was discovered almost 50 years ago, but for many years, it did not attract much attention. However, as epidemiological and Mendelian randomization studies have associated apoC-III with low levels of triglycerides and decreased incidence of cardiovascular disease (CVD), it has emerged as a novel and potentially powerful therapeutic approach to managing dyslipidemia and CVD risk. The atherogenicity of apoC-III has been attributed to both direct lipoprotein lipase-mediated mechanisms and indirect mechanisms, such as promoting secretion of triglyceride-rich lipoproteins (TRLs), provoking proinflammatory responses in vascular cells and impairing LPL-independent hepatic clearance of TRL remnants. Encouraging results from clinical trials using antisense oligonucleotide, which selectively inhibits apoC-III, indicate that modulating apoC-III may be a potent therapeutic approach to managing dyslipidemia and cardiovascular disease risk.Peer reviewe
Solid hulls and cores of weighted H-infinity-spaces
Get PDF[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
Monomial basis in Korenblum type spaces of analytic functions
Get PDF[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
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