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On M-harmonic Bloch functions and their Carleson measures†

Published online by Cambridge University Press:  18 May 2009

Boo Rim Choe  and
Young Joo Lee
Boo Rim Choe
Affiliation:
Department of Mathematics, Korea University, Seoul 136-701, Korea E-mail address: choebr@semi.korea.ac.Kr
Young Joo Lee
Affiliation:
Department of Mathematics, Mokpo National University, Chonnam 534–729, Korea E-mail address: yjlee@chungkye.mokpo.ac.kr
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Abstract

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On the setting of the unit ball of the complex n-space, some characterizations of M-harmonic Bloch functions are obtained. As an application, Carleson measures are characterized by means of Berezin type integrals of M-harmonic Bloch functions. As one may expect, these results carry over to M-harmonic little Bloch functions and vanishing Carleson measures.

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 40 , Issue 2 , May 1998 , pp. 273 - 289
Copyright
Copyright © Glasgow Mathematical Journal Trust 1998

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