Translator Disclaimer
VOL. 44 | 2006 Harmonic conjugates of parabolic Bergman functions

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