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A Generalization of the Weighted Hardy Inequality for One Class of Integral Operators

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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 ρ-weighted derivative.

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Authors and Affiliations

  1. Institute of Mathematics of the Ministry for Education and Science of the Republic of Kazakhstan, Almaty

    A. A. Kalybay

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  1. A. A. Kalybay
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Kalybay, A.A. A Generalization of the Weighted Hardy Inequality for One Class of Integral Operators. Siberian Mathematical Journal 45, 100–111 (2004). https://doi.org/10.1023/B:SIMJ.0000013015.21366.36

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  • DOI: https://doi.org/10.1023/B:SIMJ.0000013015.21366.36

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