Bull. Korean Math. Soc. 2014; 51(4): 1195-1204
Printed July 1, 2014
https://doi.org/10.4134/BKMS.2014.51.4.1195
Copyright © The Korean Mathematical Society.
Kyesook Nam and Inyoung Park
Seoul National University, Pohang University of Science and Technology
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.
Keywords: volume mean integral, harmonic Bergman spaces, smooth boundary domains in $\mathbf{R}^n$
MSC numbers: Primary 31B05, 32A35, 32A36; Secondary 32A50
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