Qp-spaces on bounded symmetric domains

We generalize the theory of Qp spaces, introduced on the unit disc in 1995 by Aulaskari, Xiao and Zhao, to bounded symmetric domains in Cd, as well as to analogous Moebius-invariant function spaces and Bloch spaces defined using higher order derivatives; the latter generalization contains new result...

Full description

Saved in:
Bibliographic Details
Main Authors: Jonathan Arazy, Miroslav Engliš
Format: Article
Language:English
Published: Wiley 2008-01-01
Series:Journal of Function Spaces and Applications
Online Access:http://dx.doi.org/10.1155/2008/342050
Tags: Add Tag
No Tags, Be the first to tag this record!
_version_ 1849305445346312192
author Jonathan Arazy
Miroslav Engliš
author_facet Jonathan Arazy
Miroslav Engliš
author_sort Jonathan Arazy
collection DOAJ
description We generalize the theory of Qp spaces, introduced on the unit disc in 1995 by Aulaskari, Xiao and Zhao, to bounded symmetric domains in Cd, as well as to analogous Moebius-invariant function spaces and Bloch spaces defined using higher order derivatives; the latter generalization contains new results even in the original context of the unit disc.
format Article
id doaj-art-09eb4946df7c4e0ba1b92910fef30f12
institution Kabale University
issn 0972-6802
language English
publishDate 2008-01-01
publisher Wiley
record_format Article
series Journal of Function Spaces and Applications
spelling doaj-art-09eb4946df7c4e0ba1b92910fef30f122025-08-20T03:55:27ZengWileyJournal of Function Spaces and Applications0972-68022008-01-016320524010.1155/2008/342050Qp-spaces on bounded symmetric domainsJonathan Arazy0Miroslav Engliš1Department of Mathematics, University of Haifa, 31905 Haifa, IsraelMathematics Institute, Žitná 25, 11567 Praha 1, Czech RepublicWe generalize the theory of Qp spaces, introduced on the unit disc in 1995 by Aulaskari, Xiao and Zhao, to bounded symmetric domains in Cd, as well as to analogous Moebius-invariant function spaces and Bloch spaces defined using higher order derivatives; the latter generalization contains new results even in the original context of the unit disc.http://dx.doi.org/10.1155/2008/342050
spellingShingle Jonathan Arazy
Miroslav Engliš
Qp-spaces on bounded symmetric domains
Journal of Function Spaces and Applications
title Qp-spaces on bounded symmetric domains
title_full Qp-spaces on bounded symmetric domains
title_fullStr Qp-spaces on bounded symmetric domains
title_full_unstemmed Qp-spaces on bounded symmetric domains
title_short Qp-spaces on bounded symmetric domains
title_sort qp spaces on bounded symmetric domains
url http://dx.doi.org/10.1155/2008/342050
work_keys_str_mv AT jonathanarazy qpspacesonboundedsymmetricdomains
AT miroslavenglis qpspacesonboundedsymmetricdomains