The boundedness of certain sublinear operator in the weighted variable Lebesgue spaces
Rovshan A. Bandaliev (2010)
Czechoslovak Mathematical Journal
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The main purpose of this paper is to prove the boundedness of the multidimensional Hardy type operator in weighted Lebesgue spaces with a variable exponent. As an application we prove the boundedness of certain sublinear operators on the weighted variable Lebesgue space.