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This article is cited in 8 scientific papers (total in 8 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
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.
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English version:
Siberian Mathematical Journal, 2011, 52:6, 1042–1055
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UDC:
517.51
Received: 28.10.2010
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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http://mi.mathnet.ru/eng/smj2276 http://mi.mathnet.ru/eng/smj/v52/i6/p1313
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This publication is cited in the following articles:
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R. Oinarov, “Boundedness of integral operators in weighted Sobolev spaces”, Izv. Math., 78:4 (2014), 836–853
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Kalybay A. Persson L.-E. Temirkhanova A., “a New Discrete Hardy-Type Inequality With Kernels and Monotone Functions”, J. Inequal. Appl., 2015, 321
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A. A. Kalybay, R. Oinarov, “Bounds for a class of quasilinear integral operators on the set of non-negative
and non-negative monotone functions”, Izv. Math., 83:2 (2019), 251–272
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Otelbaev M. Sultanaev Ya.T. Zhusupova D.S., “Criterion For the Boundedness and Compactness of a Class of Sets in l[0,Infinity)”, Differ. Equ., 55:9 (2019), 1258–1261
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Kalybay A., Oinarov R., Temirkhanova A., “Integral Operators With Two Variable Integration Limits on the Cone of Monotone Functions”, J. Math. Inequal., 13:1 (2019), 1–16
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Kalybay A. Oinarov R., “Kernel Operators and Their Boundedness From Weighted Sobolev Space to Weighted Lebesgue Space”, Turk. J. Math., 43:1 (2019), 301–315
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A. M. Temirkhanova, A. T. Beszhanova, “Boundedness and compactness of a certain class of matrix operators with variable limits of summation”, Eurasian Math. J., 11:4 (2020), 66–75
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A. Kalybay, R. Oinarov, “Boundedness of Riemann–Liouville operator from weighted Sobolev space to weighted Lebesgue space”, Eurasian Math. J., 12:1 (2021), 39–48
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