The Besov and Triebel-Lizorkin spaces with high order on the Lipschitz curves |
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Authors: | D G Deng Y S Han |
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Affiliation: | (1) Department of Mathematics, Zhongshan University, 510275 Guangzhou, P. R. C.;(2) Department of Mathematics, Auburn University, 36849-5310 Auburn, AL, U. S. A. |
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Abstract: | The Besov spacesB
p
α,μ
(Γ) and Triebel-Lizorkin spacesF
p
α,μ
(Γ) with high order α∈R on a Lipschitz curve Γ are defined. when 1≤p≤∞, 1≤q≤∞. To compare to the classical case a difference
characterization of such spaces in the case |α|<1 is given also.
The author is supported in part by the Foundation of Zhongshan University Advanced Research Centre and NSF of China. |
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Keywords: | |
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