Translator Disclaimer
July 2012 Atomic decomposition of harmonic Bergman functions
Kiyoki Tanaka
Hiroshima Math. J. 42(2): 143-160 (July 2012). DOI: 10.32917/hmj/1345467067

Abstract

We consider harmonic Bergman functions, i.e., functions which are harmonic and $p$-th integrable. In the present paper, we shall show that when $10p0\infty$, every harmonic Bergman function on a smooth domain is represented as a series using the harmonic Bergman kernel. This representation is called an atomic decomposition.

Citation

Download Citation

Kiyoki Tanaka. "Atomic decomposition of harmonic Bergman functions." Hiroshima Math. J. 42 (2) 143 - 160, July 2012. https://doi.org/10.32917/hmj/1345467067

Information

Published: July 2012
First available in Project Euclid: 20 August 2012

zbMATH: 1250.31005
MathSciNet: MR2978299
Digital Object Identifier: 10.32917/hmj/1345467067

Subjects:
Primary: 31B10
Secondary: ‎32A36‎

Rights: Copyright © 2012 Hiroshima University, Mathematics Program

JOURNAL ARTICLE
18 PAGES


SHARE
Vol.42 • No. 2 • July 2012
Back to Top