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Estimates for the singular values of stieltjes type transforms

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Abstract

We obtain two-sided estimates for the Schatten-von Neumann norms of a selfadjoint Stieltjes type transform in the space of square integrable functions.

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Correspondence to E. P. Ushakova.

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Original Russian Text Copyright © 2011 Ushakova E. P.

The author was supported by the Russian Foundation for Basic Research (Grants 07-01-00054 and 09-01-98516-p vostok a) and the Far East Division of the Russian Academy of Sciences (Grant 09-II-CO-01-003).

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Khabarovsk. Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 52, No. 1, pp. 201–209, January–February, 2011.

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Ushakova, E.P. Estimates for the singular values of stieltjes type transforms. Sib Math J 52, 159–166 (2011). https://doi.org/10.1134/S0037446606010174

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