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Sibirskii Matematicheskii Zhurnal, 2007, Volume 48, Number 3, Pages 577–585 (Mi smj48)  
This article is cited in 4 scientific papers (total in 4 papers)

A rearrangement estimate for the generalized multilinear fractional integrals

V. S. Gulieva, Sh. A. Nazirovab

a Institute of Mathematics and Mechanics, Azerbaijan National Academy of Sciences
b Khazar University
Full-text PDF (187 kB) Citations (4)
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Abstract: We study the $L_{p_1}\times L_{p_2}\times\ldots\times L_{p_k}$ boundedness of generalized multilinear fractional integrals. An O'Neil type inequality for a $k$-linear integral operator is proved. Using an O'Neil type inequality for a $k$-linear integral operator, we obtain a pointwise rearrangement estimate of generalized multilinear fractional integrals. By way of application we prove a Sobolev type theorem for these integrals.
Keywords: Lebesgue space, O'Neil type inequality, rearrangement estimate, generalized multilinear fractional integral.
Received: 17.10.2005
English version:
Siberian Mathematical Journal, 2007, Volume 48, Issue 3, Pages 463–470
DOI: https://doi.org/10.1007/s11202-007-0048-7
Bibliographic databases:
UDC: 517.51
Language: Russian
Citation: V. S. Guliev, Sh. A. Nazirova, “A rearrangement estimate for the generalized multilinear fractional integrals”, Sibirsk. Mat. Zh., 48:3 (2007), 577–585; Siberian Math. J., 48:3 (2007), 463–470
Citation in format AMSBIB
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский математический журнал Siberian Mathematical Journal
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