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\(B_w^u\)-function spaces and their interpolation - MaRDI portal

\(B_w^u\)-function spaces and their interpolation (Q520664)

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\(B_w^u\)-function spaces and their interpolation
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    \(B_w^u\)-function spaces and their interpolation (English)
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    5 April 2017
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    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 [\textit{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.
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    Morrey space
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    Campanato space
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    Lipschitz space
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    BMO
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    CMO
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    Interpolation
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    Hardy-Littlewood maximal operator
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    singular integral operator
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    fractional integral operator
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