Some embeddings into the Morrey and modified Morrey spaces associated with the Dunkl operator.
Guliyev, Emin V., Mammadov, Yagub Y. (2010)
Abstract and Applied Analysis
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Some embeddings into the Morrey and modified Morrey spaces associated with the Dunkl operator.
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This paper solves the scalar Oseen equation, a linearized form of the Navier-Stokes equation. Because the fundamental solution has anisotropic properties, the problem is set in a Sobolev space with isotropic and anisotropic weights. We establish some existence results and regularities in theory.
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Boundedness of Hardy-Littlewood maximal operator on block spaces with variable exponent
Ka Luen Cheung, Kwok-Pun Ho (2014)
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The family of block spaces with variable exponents is introduced. We obtain some fundamental properties of the family of block spaces with variable exponents. They are Banach lattices and they are generalizations of the Lebesgue spaces with variable exponents. Moreover, the block space with variable exponents is a pre-dual of the corresponding Morrey space with variable exponents. The main result of this paper is on the boundedness of the Hardy-Littlewood maximal operator on the block...