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
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
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