Bourgain Algebras of Spaces of n-Harmonic Functions in the Unit Polydisk
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Published:1996-09-01
Issue:3
Volume:39
Page:284-293
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ISSN:0008-4395
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Container-title:Canadian Mathematical Bulletin
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language:en
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Short-container-title:Can. math. bull.
Author:
Izuchi Keiji,Kasuga Kazuhiro,Matsugu Yasuo
Abstract
AbstractLet h∞(Dn) denote the space of all bounded n-harmonic functions on the unit polydisk Dn of Cn. In this paper we prove that the Bourgain algebra h∞(Dn)b and h∞(Dn)bb relative to the Lebesgue space L∞(Dn) are of the following forms:Here V(Dn) is the space of those functions such that , where denotes the characteristic function of a subset E of Dn.
Publisher
Canadian Mathematical Society
Subject
General Mathematics