Journal of Operator Theory

Volume 69, Issue 2, Spring 2013 pp. 511-524.

On compactness of Laplace and Stieltjes type transformations in Lebesgue spaces

Authors: Elena P. Ushakova
Author institution: Computing Centre of the Far-Eastern Branch of the Russian Academy of Sciences, Kim Yu Chena 65, Khabarovsk, 680000, Russia

Summary: We obtain criteria for integral transformations of Laplace and Sti\-eltjes type to be compact on Lebesgue spaces of real functions on the semiaxis.

Keywords: compactness, boundedness, Lebesgue space, integral operator, Laplace transformation, Stieltjes transformation

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