Tokyo Journal of Mathematics

$B_w^u$-function Spaces and Their Interpolation

Eiichi NAKAI and Takuya SOBUKAWA

Full-text: Access denied (no subscription detected) We're sorry, but we are unable to provide you with the full text of this article because we are not able to identify you as a subscriber. If you have a personal subscription to this journal, then please login. If you are already logged in, then you may need to update your profile to register your subscription. Read more about accessing full-text


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.

Article information

Tokyo J. of Math. Volume 39, Number 2 (2016), 483-516.

First available in Project Euclid: 30 March 2016

Permanent link to this document

Digital Object Identifier

Mathematical Reviews number (MathSciNet)

Primary: 42B35: Function spaces arising in harmonic analysis 46B70: Interpolation between normed linear spaces [See also 46M35]
Secondary: 46E30: Spaces of measurable functions (Lp-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) 46E35: Sobolev spaces and other spaces of "smooth" functions, embedding theorems, trace theorems 42B20: Singular and oscillatory integrals (Calderón-Zygmund, etc.) 42B25: Maximal functions, Littlewood-Paley theory


NAKAI, Eiichi; SOBUKAWA, Takuya. $B_w^u$-function Spaces and Their Interpolation. Tokyo J. of Math. 39 (2016), no. 2, 483--516. doi:10.3836/tjm/1459367270.

Export citation