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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

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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