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JOURNALS // Sibirskii Matematicheskii Zhurnal // Archive

Sibirsk. Mat. Zh., 2007 Volume 48, Number 5, Pages 1100–1115 (Mi smj1793)

This article is cited in 25 papers

Boundedness and compactness of Volterra type integral operators

R. Oinarov

L. N. Gumilev Eurasian National University

Abstract: We introduce some nested classes of Volterra type integral operators. For the operators of these classes we establish criteria for boundedness and compactness in Lebesgue spaces.

Keywords: integral operator, Volterra type integral operator, operator of fractional integration, boundedness, compactness.

UDC: 517.518

Received: 08.12.2005
Revised: 19.05.2007


 English version:
Siberian Mathematical Journal, 2007, 48:5, 884–896

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