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On the boundedness and compactness of a certain integral operator

By Farsani S.M.

Abstract

Let σ > 0 and β > 1. In the present work, the necessary and sufficient conditions for the boundedness and compactness of the integral operator of the form [mathematical equation] from Lp → Lq with locally integrable non-negative weight functions u and v, in the case 0<p, q<∞, p> max(1/α, 1), provided u is non-increasing on ℝ+:=[0,∞) are found

Topics: Boundedness, Compactness, Integral operators, Weights
Publisher: 'Tusi Mathematical Research Group'
Year: 2020
DOI identifier: 10.15352/bjma/1363784225
OAI identifier: oai:rour.neicon.ru:rour/252459
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