On traces of Q_p type spaces and mixed norm analytic functions spaces on polyballs

Authors:

Romi F. SHAMOYAN, Olivera R. MIHIČ

AMS Classification:

32A18

Keywords:

Bergman metric ball, Bergman representation formula, mixed norm classes, polyball, polyhalfplane, traces of holomorphic functions

Abstract:

In this paper, we introduce new Q_p type spaces and mixed norm analytic function spaces on polyballs and describe completely their traces on unit ball. Also, we provide complete descriptions for analytic Bergman classes in the polyhalfplane.

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Sham-Mihi-2010

Vol. 5 (13), 2010