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Integrable Harmonic Functions on Rn

✍ Scribed by Yaakov Ben Natan; Yitzhak Weit

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
292 KB
Volume
150
Category
Article
ISSN
0022-1236

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✦ Synopsis

A class of radial measures + on R n is defined so that integrable harmonic functions f on R n may be characterized as solutions of convolution equations f V += f. In particular we show that f V e &2 V ? |x| = f, f # L 1 (e &2? |x| ) is harmonic if and only if n<9.

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