Weighted Grand Lebesgue Space with a Mixed Norm and Integral Operators
Vakhtang Kokilashvili
Abstract
Vakhtang Kokilashvili
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.
OpenAlex reports 3 citations for this work. Citation counts describe recorded attention and do not establish research quality.
A contribution statement is not available in the OpenAlex record.
Method details are not available in the OpenAlex metadata.
Findings are not separately available in the OpenAlex metadata.
Limitations are not available in the OpenAlex metadata.
Application details are not available in the OpenAlex metadata.
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