Composition Operators on Bounded Convex Domains in Cn

Hyung Woon Koo, Song Ying Li

Research output: Contribution to journalArticle

Abstract

We study composition operators on a class of bounded domains including convex domains (Formula presented.). We show that a general self-map (Formula presented.) of (Formula presented.) always induces a bounded operator (Formula presented.) and the weight gain (Formula presented.) is optimal in certain sense. When (Formula presented.) is smooth, we provide explicit examples which reveal aspects quite different from the strongly pseudoconvex domain setting.

Original languageEnglish
Pages (from-to)1-18
Number of pages18
JournalIntegral Equations and Operator Theory
DOIs
Publication statusAccepted/In press - 2016 May 13

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Keywords

  • Boundedness
  • Composition operator
  • Convex domain
  • Finite type domain
  • Smooth symbol

ASJC Scopus subject areas

  • Algebra and Number Theory
  • Analysis

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