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Composition of quasiconformal mappings and functions in Triebel-Lizorkin spaces

โœ Scribed by Stanislav Hencl; Pekka Koskela

Book ID
112141516
Publisher
John Wiley and Sons
Year
2012
Tongue
English
Weight
178 KB
Volume
286
Category
Article
ISSN
0025-584X

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