Integrable Harmonic Functions on Symmetr
β
Yaakov Ben Natan; Yitzhak Weit
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Article
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1998
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Elsevier Science
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English
β 221 KB
If f # L 1 (d+) is harmonic in the space GΓK, where + is a radial measure with +(GΓK)=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