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Series Expansion and Reproducing Kernels for Hyperharmonic Functions

✍ Scribed by Miroljub Jevtić; Miroslav Pavlović

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
86 KB
Volume
264
Category
Article
ISSN
0022-247X

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✦ Synopsis

First we show that any hyperbolically harmonic (hyperharmonic) function in the unit ball B in n has a series expansion in hyperharmonic functions, and then we construct the kernel that reproduces hyperharmonic functions in some L 1 B space. We show that the same kernel also reproduces harmonic functions in L 1 B .  2001

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