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Sibirskii Matematicheskii Zhurnal, 2001, Volume 42, Number 3, Pages 645–650 (Mi smj1449)  
Sufficient conditions for boundedness of convolution operators in rearrangement-invariant spaces

B. I. Peleshenko

Dnepropetrovsk State Agricultural University
Full-text PDF (153 kB)
Abstract: We prove equivalence of sufficient conditions for boundedness of convolution integral operators in rearrangement-invariant spaces which were obtained in the articles of S. G. Krein, E. M. Semenov, and the author. The first of these conditions generalizes the Hardy–Littlewood–Sobolev condition and the second is a modification of the Hörmander condition.
Received: 28.02.2000
English version:
Siberian Mathematical Journal, 2001, Volume 42, Issue 3, Pages 546–550
DOI: https://doi.org/10.1023/A:1010479327687
Bibliographic databases:
UDC: 517.948.5
Language: Russian
Citation: B. I. Peleshenko, “Sufficient conditions for boundedness of convolution operators in rearrangement-invariant spaces”, Sibirsk. Mat. Zh., 42:3 (2001), 645–650; Siberian Math. J., 42:3 (2001), 546–550
Citation in format AMSBIB
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\pages 645--650
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\jour Siberian Math. J.
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\vol 42
\issue 3
\pages 546--550
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