Revisit to a theorem of Wogen

Hyung Woon Koo, Maofa Wang

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

2 Citations (Scopus)

Abstract

In this note we provide a new proof of a theorem of Wogen on the boundedness criterion for composition operators on Hardy space H2(Un) induced by holomorphic self-maps of the unit ball Un, and then generalize it to more general inducing self-maps.

Original languageEnglish
Title of host publicationTopics in Operator Theory: Volume 1: Operators, Matrices and Analytic Functions - Proceedings of the 19th International Workshop on Operator Theory and its Applications, 2008
PublisherSpringer International Publishing
Pages355-363
Number of pages9
Volume202
ISBN (Print)9783034601573
Publication statusPublished - 2010
Event19th International Workshop on Operator Theory and its Applications, IWOTA 2008 - Williamsburg, United States
Duration: 2008 Jul 22 → 2008 Jul 26

Publication series

NameOperator Theory: Advances and Applications
Volume202
ISSN (Print)02550156
ISSN (Electronic)22964878

Other

Other19th International Workshop on Operator Theory and its Applications, IWOTA 2008
CountryUnited States
CityWilliamsburg
Period08/7/22 → 08/7/26

Keywords

  • Bergman space
  • Boundedness
  • Carleson measure
  • Composition operator
  • Hardy space
  • Smooth map
  • Wogen criterion

ASJC Scopus subject areas

  • Analysis

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    Koo, H. W., & Wang, M. (2010). Revisit to a theorem of Wogen. In Topics in Operator Theory: Volume 1: Operators, Matrices and Analytic Functions - Proceedings of the 19th International Workshop on Operator Theory and its Applications, 2008 (Vol. 202, pp. 355-363). (Operator Theory: Advances and Applications; Vol. 202). Springer International Publishing.