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Construction space harmonic functions in polynomial form and spherical functions by complex-functional

✍ Scribed by Wang Qishen

Publisher
Springer
Year
1997
Tongue
English
Weight
220 KB
Volume
18
Category
Article
ISSN
0253-4827

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✦ Synopsis

in this paper, app@ng the theory qf complex-functional, not only the space harmo~lic functions in polynomial form, but also the spherical functions are obtained.

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## Abstract We study the maximal function M__f__(__x__) = sup |__f__(__x__ + __y, t)|__ when Ξ© is a region in the (__y,t__) Ξ© upper half space R and __f(x, t__) is the harmonic extension to R~+~__^N+1^__ of a distribution in the Besov space B^Ξ±^__~p,q~__(R__^N^__) or in the Triebel‐Lizorkin space F