Boundedness and compactness of a class of convolution integral operators of fractional integration type


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Abstract

For a class of convolution integral operators whose kernels may have integrable singularities, boundedness and compactness criteria in weighted Lebesgue spaces are obtained.

About the authors

R. Oinarov

L.N. Gumilyov Eurasian National University

Author for correspondence.
Email: o_ryskul@mail.ru
Kazakhstan, Satpayev Str. 2, Astana, 010008

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