\(B_w^u\)-function spaces and their interpolation. (English) Zbl 1365.42016

In this paper the authors define some function space \(B^u_w\) which is a generalization of the 2-microlocal type Morrey space given in [Y. Komori-Furuya et al., J. Funct. Spaces Appl. 2013, Article ID 859402, 21 p. (2013; Zbl 1275.42036)]. They investigate the interpolation property of the \(B^u_w\) function space. As an application, the authors also consider the boundedness of linear and sublinear operators on these function spaces.


42B35 Function spaces arising in harmonic analysis
46B70 Interpolation between normed linear spaces
42B20 Singular and oscillatory integrals (Calderón-Zygmund, etc.)
46E30 Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)
46B25 Classical Banach spaces in the general theory


Zbl 1275.42036
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