Article

Estimates for the norm of an integral operator with Oinarov’s kernel

Komil KulievSamarkand State University, 15, University Boulevard, Samarkand 140104, UzbekistanGulchehra KulievaSamarkand branch of Tashkent University of Informational Technology, 2A, Ibn Sino, Samarkand 140100, UzbekistanН. М. ИсматовJizzakh State Pedagogical University, 4, Sharof Rashidov, Jizzakh 130100, Uzbekistan

AIP conference proceedingsjournal2024en

ABI

Abstract

In this paper we give lower and upper estimates for the norm of the Hardy-Volterra operator with Oinarov's kernel in the case 1 < p ≤ q < ∞. The results given are very important in the study of the oscillation and non-oscillation properties of solutions of differential equations, as well as spectral properties.

Topics

Differential Equations and Boundary Problems Spectral Theory in Mathematical Physics Algebraic and Geometric Analysis

Identifiers

DOI: 10.1063/5.0200753

Citations and references

Cited by 4 11 references

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