The Boas Problem on Hankel Transforms

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作者
A. Debernardi
机构
[1] Bar-Ilan University,Department of Mathematics
[2] Centre de Recerca Matemàtica,undefined
关键词
Boas conjecture; Hankel transform; General monotonicity; Weighted Lebesgue spaces; Lorentz spaces; Primary 42A38; 26D15; Secondary 26A48;
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摘要
Norm equivalences between a function and its Hankel transform are studied both in the context of weighted Lebesgue spaces with power weights, and in Lorentz spaces. Boas-type results involving real-valued general monotone functions are obtained. Corresponding results for the Fourier transform are also given.
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页码:3310 / 3341
页数:31
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