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 Tr. Mat. Inst. Steklova, 2016, Volume 293, Pages 263–279 (Mi tm3718)

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

R. Oinarov

L. N. Gumilev Eurasian National University, Satpayev Str. 2, Astana, 010008 Kazakhstan

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

 Funding Agency Grant Number Ministry of Education and Science of the Republic of Kazakhstan 5499/GF4 This work was supported by the Ministry of Education and Science of the Republic of Kazakhstan, project no. 5499/GF4 in the priority field “Intellectual Potential of the Country.”

DOI: https://doi.org/10.1134/S0371968516020187

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English version:
Proceedings of the Steklov Institute of Mathematics, 2016, 293, 255–271

Bibliographic databases:

UDC: 517.51

Citation: R. Oinarov, “Boundedness and compactness of a class of convolution integral operators of fractional integration type”, Function spaces, approximation theory, and related problems of mathematical analysis, Collected papers. In commemoration of the 110th anniversary of Academician Sergei Mikhailovich Nikol'skii, Tr. Mat. Inst. Steklova, 293, MAIK Nauka/Interperiodica, Moscow, 2016, 263–279; Proc. Steklov Inst. Math., 293 (2016), 255–271

Citation in format AMSBIB
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• http://mi.mathnet.ru/eng/tm3718
• https://doi.org/10.1134/S0371968516020187
• http://mi.mathnet.ru/eng/tm/v293/p263

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This publication is cited in the following articles:
1. L. P. Castro, L. T. Minh, N. M. Tuan, “New convolutions for quadratic-phase Fourier integral operators and their applications”, Mediterr. J. Math., 15:1 (2018), 13, 17 pp.
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