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Sibirskii Matematicheskii Zhurnal, 2004, Volume 45, Number 1, Pages 119–133 (Mi smj1739)  
A generalization of the weighted Hardy inequality for a class of integral operators

A. A. Kalybai

Institute of Mathematics, Ministry of Education and Science of the Republic of Kazakhstan
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Abstract: We consider the problem of finding necessary and sufficient conditions for validity of an estimate for a function by some differential operation containing a weight function rather than the ordinary derivative. This operation is referred to as the $\rho$-weighted derivative.
Keywords: Hardy-type estimate, weight function, integral operator.
Received: 16.06.2003
English version:
Siberian Mathematical Journal, 2004, Volume 45, Issue 1, Pages 100–111
DOI: https://doi.org/10.1023/B:SIMJ.0000013015.21366.36
Bibliographic databases:
UDC: 517.51
Language: Russian
Citation: A. A. Kalybai, “A generalization of the weighted Hardy inequality for a class of integral operators”, Sibirsk. Mat. Zh., 45:1 (2004), 119–133; Siberian Math. J., 45:1 (2004), 100–111
Citation in format AMSBIB
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\transl
\jour Siberian Math. J.
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\issue 1
\pages 100--111
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