Hostname: page-component-745bb68f8f-s22k5 Total loading time: 0 Render date: 2025-02-05T15:25:33.318Z Has data issue: false hasContentIssue false
  • English
  • Français

Carleson measures theorems for generalized Bergman spaces on the unit polydisk

Published online by Cambridge University Press:  25 July 2002

Artur Michalak
Artur Michalak
Affiliation:
Wydział Matematyki i Informatyki, A. Mickiewicz University, Matejki 48/49, 60-769 Poznań, Poland. e-mail: [email protected]
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

We provide sufficient conditions on a positive finite rotation invariant Borel measure on {𝔻}^n which guarantee that the analogue of the Carleson measure theorem remains valid for Bergman spaces of holomorphic and n-harmonic functions on {𝔻}^n generated by the measure.

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 43 , Issue 2 , May 2001 , pp. 277 - 294
Copyright
2001 Glasgow Mathematical Journal Trust

Footnotes

This research was supported by Komitet Badań Naukowych (State Committee for Scientific Research), Poland, grant no. 2 P03A 051 15.