Q p-spaces on bounded symmetric domains

Jonathan Arazy, Miroslav Engliš

Research output: Contribution to journalArticlepeer-review

Abstract

We generalize the theory of Q p spaces, introduced on the unit disc in 1995 by Aulaskari, Xiao and Zhao, to bounded symmetric domains in C d, 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.

Original languageEnglish
Pages (from-to)205-240
Number of pages36
JournalJournal of Function Spaces and Applications
Volume6
Issue number3
DOIs
StatePublished - 2008

Keywords

  • Bloch space
  • Bounded symmetric domain
  • composition series
  • invariant differential operator

ASJC Scopus subject areas

  • Analysis

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