VOLUME INTEGRAL MEANS OF HARMONIC FUNCTIONS ON SMOOTH BOUNDARY DOMAINS

Title & Authors
VOLUME INTEGRAL MEANS OF HARMONIC FUNCTIONS ON SMOOTH BOUNDARY DOMAINS
Nam, Kyesook; Park, Inyoung;

Abstract
We newly define the volume integral means of harmonic functions to characterize the weighted harmonic Bergman spaces. It is based on Xiao and Zhu's results on holomorphic Bergman spaces [5].
Keywords
volume mean integral;harmonic Bergman spaces;smooth boundary domains in $\small{\mathbf{R}_n}$;
Language
English
Cited by
References
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K. Nam, Mean value property and a Berezin-type transform on the half-space, J. Math. Anal. Appl. 381 (2011), no. 2, 914-921.

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M. Pavlovic, Hardy-Stein type characterization of harmonic Bergman spaces, Potential Anal. 32 (2010), no. 1, 1-15.

5.
J. Xiao and K. Zhu, Volume integral means of holomorphic functions, Proc. Amer. Math. Soc. 139 (2011), no. 4, 1455-1465.