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New equivalent conditions for the boundedness of Hardy-Volterra operator

Mohlaroyim EshimovaV.I.Romanovskiy Institute of Mathematics, Uzbekistan Academy of Sciences, 46, University str., Tashkent 100174, Uzbekistan

AIP conference proceedingsjournal2024en

Ochiq kirish: yoʻq

ABI

Annotatsiya

In this paper are presented new equivalent conditions for the boundedness of the Hardy-Volterra operator with so-called Oinarov's kernel k(x, t) in the weighted Lebesgue spaces Lp,v and Lq,u in the case 1 < q < p < ∞. Moreover, an upper estimate for operator's norm is obtained.

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Mavzular

Differential Equations and Boundary Problems Advanced Harmonic Analysis Research Nonlinear Differential Equations Analysis

Identifikatorlar

DOI: 10.1063/5.0200036

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