Series expansion and reproducing kernels for hyperharmonic functions

[摘要] First we show that any hyperbolically harmonic (hyperharmonic) function in the unit ball B in R-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). (C) 2001 Elsevier Science.

[发布日期] 2001-12-15

[关键词] harmonic and hyperharmonic functions;hypergeometric functions