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December 2016 $B_w^u$-function Spaces and Their Interpolation
Eiichi NAKAI, Takuya SOBUKAWA
Tokyo J. Math. 39(2): 483-516 (December 2016). DOI: 10.3836/tjm/1459367270

Abstract

We introduce $B_w^u$-function spaces which unify Lebesgue, Morrey-Campanato, Lipschitz, $B^p$, $\mathrm{CMO}$, local Morrey-type spaces, etc., and investigate the interpolation property of $B_w^u$-function spaces. We also apply it to the boundedness of linear and sublinear operators, for example, the Hardy-Littlewood maximal and fractional maximal operators, singular and fractional integral operators with rough kernel, the Littlewood-Paley operator, Marcinkiewicz operator, and so on.

Citation

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Eiichi NAKAI. Takuya SOBUKAWA. "$B_w^u$-function Spaces and Their Interpolation." Tokyo J. Math. 39 (2) 483 - 516, December 2016. https://doi.org/10.3836/tjm/1459367270

Information

Published: December 2016
First available in Project Euclid: 30 March 2016

zbMATH: 1365.42016
MathSciNet: MR3599505
Digital Object Identifier: 10.3836/tjm/1459367270

Subjects:
Primary: 42B35, 46B70
Secondary: 42B20, 42B25, 46E30, 46E35

Rights: Copyright © 2016 Publication Committee for the Tokyo Journal of Mathematics

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Vol.39 • No. 2 • December 2016
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