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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Guliyev, Emin V., Mammadov, Yagub Y. (2010)
Abstract and Applied Analysis
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Ka Luen Cheung, Kwok-Pun Ho (2014)
Czechoslovak Mathematical Journal
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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...
Stewart, James, Watson, Saleem (1986)
International Journal of Mathematics and Mathematical Sciences
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A. D. Gadjiev, R. O. Efendiyev, E. Ibikli (2003)
Czechoslovak Mathematical Journal
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It is shown that a Korovkin type theorem for a sequence of linear positive operators acting in weighted space does not hold in all this space and is satisfied only on some subspace.
Chérif Amrouche, Hamid Bouzit (2008)
Applications of Mathematics
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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.