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JOURNALS // Fundamentalnaya i Prikladnaya Matematika // Archive

Fundam. Prikl. Mat., 1999 Volume 5, Issue 2, Pages 475–491 (Mi fpm388)

This article is cited in 5 papers

On integral operators in $L_p$-spaces

A. G. Kostyuchenkoa, E. D. Nursultanovb

a M. V. Lomonosov Moscow State University
b Institute of Applied Mathematics National Academy of Sciences of Kazakhstan

Abstract: On the model problem the influence of mutual disposition of singularities of the integral operator's kernel onto its norm and spectral radius is studied. The upper and lower estimations of norm of integral operators in Lorentz spaces are obtained. On the basis of these inequalities, the partial order relation is introduced that permits in some cases to compare the norms of integral operators.

UDC: 517.9

Received: 01.04.1998



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