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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2008, Volume 260, Pages 264–288 (Mi tm599)  
This article is cited in 15 scientific papers (total in 15 papers)

On the Geometric Mean Operator with Variable Limits of Integration

V. D. Stepanova, E. P. Ushakovab

a Peoples Friendship University of Russia
b Computer Centre Far-Eastern Branch of RAS
Full-text PDF (277 kB) Citations (15)
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Abstract: A new criterion for the weighted $L_p$–$L_q$ boundedness of the Hardy operator with two variable limits of integration is obtained for $0<q<q+1\le p<\infty$. This criterion is applied to the characterization of the weighted $L_p$–$L_q$ boundedness of the corresponding geometric mean operator for $0<q<p<\infty$.
Received in July 2007
English version:
Proceedings of the Steklov Institute of Mathematics, 2008, Volume 260, Pages 254–278
DOI: https://doi.org/10.1134/S0081543808010185
Bibliographic databases:
UDC: 517.51
Language: Russian
Citation: V. D. Stepanov, E. P. Ushakova, “On the Geometric Mean Operator with Variable Limits of Integration”, 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, 264–288; Proc. Steklov Inst. Math., 260 (2008), 254–278
Citation in format AMSBIB
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\paper On the Geometric Mean Operator with Variable Limits of Integration
\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 264--288
\publ MAIK Nauka/Interperiodica
\publaddr Moscow
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    • This publication is cited in the following 15 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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