Displaying similar documents to “Smooth approximation in weighted Sobolev spaces”

Corrections to the paper “The boundedness of certain sublinear operator in the weighted variable Lebesgue spaces“

Rovshan A. Bandaliev (2013)

Czechoslovak Mathematical Journal

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In this paper the author proved the boundedness of the multidimensional Hardy type operator in weighted Lebesgue spaces with variable exponent. As an application he proved the boundedness of certain sublinear operators on the weighted variable Lebesgue space. The proof of the boundedness of the multidimensional Hardy type operator in weighted Lebesgue spaces with a variable exponent does not contain any mistakes. But in the proof of the boundedness of certain sublinear operators on the...

A two weight weak inequality for potential type operators

Vachtang Michailovič Kokilashvili, Jiří Rákosník (1991)

Commentationes Mathematicae Universitatis Carolinae

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We give conditions on pairs of weights which are necessary and sufficient for the operator T ( f ) = K * f to be a weak type mapping of one weighted Lorentz space in another one. The kernel K is an anisotropic radial decreasing function.