Möbius invariance of analytic Besov spaces in tube domains over symmetric cones

G. Garrigós

Colloquium Mathematicae (2010)

  • Volume: 118, Issue: 2, page 559-568
  • ISSN: 0010-1354

Abstract

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Besov spaces of holomorphic functions in tubes over cones have been recently defined by Békollé et al. In this paper we show that Besov p-seminorms are invariant under conformal transformations of the domain when n/r is an integer, at least in the range 2-r/n < p ≤ ∞.

How to cite

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G. Garrigós. "Möbius invariance of analytic Besov spaces in tube domains over symmetric cones." Colloquium Mathematicae 118.2 (2010): 559-568. <http://eudml.org/doc/284231>.

@article{G2010,
abstract = {Besov spaces of holomorphic functions in tubes over cones have been recently defined by Békollé et al. In this paper we show that Besov p-seminorms are invariant under conformal transformations of the domain when n/r is an integer, at least in the range 2-r/n < p ≤ ∞.},
author = {G. Garrigós},
journal = {Colloquium Mathematicae},
keywords = {analytic Besov space; symmetric cone; Bergman projection; tube domain},
language = {eng},
number = {2},
pages = {559-568},
title = {Möbius invariance of analytic Besov spaces in tube domains over symmetric cones},
url = {http://eudml.org/doc/284231},
volume = {118},
year = {2010},
}

TY - JOUR
AU - G. Garrigós
TI - Möbius invariance of analytic Besov spaces in tube domains over symmetric cones
JO - Colloquium Mathematicae
PY - 2010
VL - 118
IS - 2
SP - 559
EP - 568
AB - Besov spaces of holomorphic functions in tubes over cones have been recently defined by Békollé et al. In this paper we show that Besov p-seminorms are invariant under conformal transformations of the domain when n/r is an integer, at least in the range 2-r/n < p ≤ ∞.
LA - eng
KW - analytic Besov space; symmetric cone; Bergman projection; tube domain
UR - http://eudml.org/doc/284231
ER -

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