2019Doklady MathematicsRequires access

Weighted Grand Lebesgue Space with a Mixed Norm and Integral Operators

Vakhtang Kokilashvili

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Abstract

Abstract Weighted grand Lebesgue spaces with mixed norms are introduced, and criteria for the boundedness of strong maximal functions and Riesz transforms in these spaces are given.

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Abstract Weighted grand Lebesgue spaces with mixed norms are introduced, and criteria for the boundedness of strong maximal functions and Riesz transforms in these spaces are given.

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OpenAlex reports 3 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

Abstract Weighted grand Lebesgue spaces with mixed norms are introduced, and criteria for the boundedness of strong maximal functions and Riesz transforms in these spaces are given.

Key concepts: Mathematics, Lp space, Lebesgue's number lemma, Singular integral operators of convolution type, Standard probability space, Norm (philosophy), Pure mathematics, Lebesgue integration

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