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VOL. 44 | 2006 Harmonic conjugates of parabolic Bergman functions
Masahiro Yamada

Editor(s) Hiroaki Aikawa, Takashi Kumagai, Yoshihiro Mizuta, Noriaki Suzuki

Abstract

The parabolic Bergman space is the Banach space of solutions of some parabolic equations on the upper half space which have finite $L^p$ norms. We introduce and study $L^{(\alpha)}$-harmonic conjugates of parabolic Bergman functions, and give a sufficient condition for a parabolic Bergman space to have unique $L^{(\alpha)}$-harmonic conjugates.

Information

Published: 1 January 2006
First available in Project Euclid: 16 December 2018

zbMATH: 1120.35042
MathSciNet: MR2279771

Digital Object Identifier: 10.2969/aspm/04410391

Subjects:
Primary: ‎32A36‎
Secondary: 26D10, 35K05

Rights: Copyright © 2006 Mathematical Society of Japan

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