6,796 research outputs found
Den sista stjärnan, op136, nro 1. Luonnos
No full textSoitinnus: lauluääni, piano.Erkki Melartinin käsikirjoitusten luettelon tunnus SibA Mel 24: 828 (luettelo löytyy Taideyliopiston kirjaston verkkosivuilta).Ei vapaa, vapautuu 2038. Bo Bergman 1869-196
Den sista stjärnan, op136, nro 1
No full textSoitinnus: lauluääni, piano.Erkki Melartinin käsikirjoitusten luettelon tunnus SibA Mel 21:486 (luettelo löytyy Taideyliopiston kirjaston verkkosivuilta).Ei vapaa, vapautuu 2039. Bo Bergman: 1869-1968
Genom tron talar han alltjämt. Aspekter på Bo Giertz författarskap
No full textA previously printed summary of Bishop Bo Giertz as an author
Bo på Bergö
Get PDFRecension av: Bo på Bergö. Människor och resurser i ett ösamhälle. Red. Anne Bergman et al. Svenska litteratursällskapet i Finland, Helsingfors 2001. (Meddelanden från Folkkultursarkivet nr 19.) 216 s. ill
Completeness of the Bergman metric on non-smooth pseudoconvex domains
No full textWe prove that the Bergman metric on domains satisfying condition S is complete. This implies that any bounded pseudoconvex domain with Lipschitz boundary is complete with respect to the Bergman metric. We also show that bounded hyperconvex domains in the plane and convex domains in are Bergman comlete
The Berezin transform and 𝑚th-order Bergman metric
No full textWe improve upon recent directional derivative estimates for Berezin’s operator calculus, and consider the relation between the
m
m
th-order Bergman metric of Burbea and the classical Bergman metric in the analysis of higher order directional derivative estimates of the Berezin symbols of general bounded operators. A new metric, naturally arising in our analysis, is introduced and certain comparison theorems are established among this metric, the
m
m
th-order Bergman metric and the classical Bergman metric on the unit ball, the polydisk and
C
n
\mathbb C^n
.</p
On the Bergman theory
Get PDFIn this paper we attempt to develop a general Bergman theory on bounded
domains in . To indicate the basic difference between and
cases, we show that the Bergman kernel is not real-analytic
on some bounded complete Reinhardt domains when is an even number. By
the calculus of variations we get a fundamental reproducing formula. This
together with certain techniques from nonlinear analysis of the Laplacian
yield a number of results, e.g., the off-diagonal Bergman kernel
is H\"older continuous of order for and of order
for . We also show that the Bergman metric
tends to the Carath\'eodory metric as and the
generalized Levi form is no less than
for and for Stability of
or as varies, boundary behavior of , as well as basic
facts on the Bergman prjection, are also investigated.Comment: Final version; a concluding remark is added in section 3, Adv. Math.
(2022
A comparison principle for bergman kernels
No full textWe give a version of the comparison principle from pluripotential theory where the Monge–Ampère measure is replaced by the Bergman kernel and use it to derive a maximum principle
Real Variable Things in Bergman Theory
No full textIn this article, we investigate the connection between certain real variable things and the Bergman theory. We first use Hardy-type inequalities to give an Hartogs-type extension theorem and an integrability theorem for the Bergman kernel . We then use the Sobolev-Morrey inequality to show the absolute continuity of Bergman kernels on planar domains with respect to logarithmic capacities. Finally, we give lower bounds of the minimum of the Bergman kernel in terms of the interior capacity radius for planar domains and the volume density for bounded pseudoconvex domains in . As a consequence, we show that holds on planar domains, where is a numerical constant and is the first Dirichlet eigenvalue of
Log-hyperconvexity index and Bergman kernel
Get PDFWe obtain a quantitative estimate of Bergman distance when is a bounded domain with log-hyperconvexity index
, as well as the -integrability of the Bergman kernel when
- …
