Leibniz’s Rule, Sampling and Wavelets on Mixed Lebesgue Spaces

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作者
Rodolfo H. Torres
Erika L. Ward
机构
[1] University of Kansas,Department of Mathematics
[2] Jacksonville University,Department of Mathematics
关键词
Mixed Lebesgue spaces; Wavelets; Littlewood–Paley theory; Function spaces; Calderón–Zygmund theory; Leibniz’s rule for fractional derivatives; Primary 42B20; 47B07; Secondary 42B25; 47G99;
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摘要
Several new results about Leibniz’s rule, sampling, and wavelets in the context of mixed Lebesgue spaces are presented. The results obtained rely in part on vector-valued estimates for Calderón–Zygmund operators and the use of appropriate maximal functions and Littlewood–Paley estimates.
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页码:1053 / 1076
页数:23
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