Displaying similar documents to “Potential operators in variable exponent Lebesgue spaces: two-weight estimates.”

Boundedness of Hardy-Littlewood maximal operator on block spaces with variable exponent

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...

Irregular amalgams.

Stewart, James, Watson, Saleem (1986)

International Journal of Mathematics and Mathematical Sciences

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On Korovkin type theorem in the space of locally integrable functions

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 L p , w ( l o c ) does not hold in all this space and is satisfied only on some subspace.