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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2008, Volume 260, Pages 151–163 (Mi tm591)  
This article is cited in 8 scientific papers (total in 8 papers)

The Cone of Rearrangements for Generalized Bessel Potentials

M. L. Gol'dman

Peoples Friendship University of Russia
Full-text PDF (208 kB) Citations (8)
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Abstract: A space of generalized Bessel potentials constructed on the basis of rearrangement-invariant spaces is considered. An equivalent description of the cone of decreasing rearrangements is proposed for functions from the space of generalized Bessel potentials. An additional characterization of the cone of decreasing rearrangements is obtained in the case of spaces separated from the space $L_1$.
Received in August 2007
English version:
Proceedings of the Steklov Institute of Mathematics, 2008, Volume 260, Pages 144–156
DOI: https://doi.org/10.1134/S0081543808010100
Bibliographic databases:
UDC: 517.51
Language: Russian
Citation: M. L. Gol'dman, “The Cone of Rearrangements for Generalized Bessel Potentials”, Function theory and nonlinear partial differential equations, Collected papers. Dedicated to Stanislav Ivanovich Pohozaev on the occasion of his 70th birthday, Trudy Mat. Inst. Steklova, 260, MAIK Nauka/Interperiodica, Moscow, 2008, 151–163; Proc. Steklov Inst. Math., 260 (2008), 144–156
Citation in format AMSBIB
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\paper The Cone of Rearrangements for Generalized Bessel Potentials
\inbook Function theory and nonlinear partial differential equations
\bookinfo Collected papers. Dedicated to Stanislav Ivanovich Pohozaev on the occasion of his 70th birthday
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\vol 260
\pages 151--163
\publ MAIK Nauka/Interperiodica
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    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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