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Sibirskii Matematicheskii Zhurnal, 2011, Volume 52, Number 6, Pages 1313–1328 (Mi smj2276)  
This article is cited in 12 scientific papers (total in 12 papers)

Boundedness and compactness in weighted Lebesgue spaces of integral operators with variable integration limits

R. Oĭnarov

L. N. Gumilev Eurasian National University, Astana, Kazakhstan
Full-text PDF (341 kB) Citations (12)
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Abstract: Considering the integral operators with nonnegative kernels and variable integration limits, we obtain criteria of boundedness and compactness in weighted Lebesgue spaces under some conditions on the kernels that are weaker than those studied before.
Keywords: integral operator with variable integration limits, Lebesgue space, boundedness, compactness.
Received: 28.10.2010
English version:
Siberian Mathematical Journal, 2011, Volume 52, Issue 6, Pages 1042–1055
DOI: https://doi.org/10.1134/S0037446611060097
Bibliographic databases:
Document Type: Article
UDC: 517.51
Language: Russian
Citation: R. Oǐnarov, “Boundedness and compactness in weighted Lebesgue spaces of integral operators with variable integration limits”, Sibirsk. Mat. Zh., 52:6 (2011), 1313–1328; Siberian Math. J., 52:6 (2011), 1042–1055
Citation in format AMSBIB
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    • This publication is cited in the following 12 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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