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Dimension of spaces of harmonic functions

โœ Scribed by A. A. Grigor'yan


Publisher
SP MAIK Nauka/Interperiodica
Year
1990
Tongue
English
Weight
349 KB
Volume
48
Category
Article
ISSN
0001-4346

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Integrable Harmonic Functions on Symmetr
โœ Yaakov Ben Natan; Yitzhak Weit ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 221 KB

If f # L 1 (d+) is harmonic in the space Gร‚K, where + is a radial measure with +(Gร‚K)=1, we have, by the mean value property f = f V +. Conversely, does this mean value property imply that f is harmonic ? In this paper we give a new and natural proof of a result obtained by P. Ahern, A. Flores, W. R