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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: michalak@amu.edu.pl
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Abstract

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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.

Information

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.