Abstract
We obtain estimates for the Schatten–von Neumann norms of the approximation numbers of Hardy integral operator with variable limits of integration.
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References
Lomakina E. N., “Estimates for the approximation numbers of one class of integral operators. I,” Sibirsk. Mat. Zh., 44, No. 1, 178–192 (2003).
Lomakina E. and Stepanov V., “On asymptotic behaviour of the approximation numbers end estimates of Schatten-von Neumann norms of Hardy-type integral operators,” in: Function Spaces and Applications, Narosa Publishing House, New Delhi, India, 2000, pp. 153–200.
Lomakina E. N. and Stepanov V. D., “On asymptotic behavior of the approximation numbers and estimates of Schatten-von Neumann norms for a Hardy integral operator,” Dokl. Ross. Akad. Nauk, 367, No. 5, 594–596 (1999).
Gokhberg I. Ts. and Kre?n M. G., An Introduction to the Theory of Linear Nonselfadjoint Operators in Hilbert Space [in Russian], Nauka, Moscow (1965).
Stepanov V. D. and Ushakova E. P., “On integral operators with variable integration limits,” Trudy Mat. Inst. Steklov., 232, No. 5, 298–317 (2001).
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Lomakina, E.N. Estimates for the Approximation Numbers of One Class of Integral Operators. II. Siberian Mathematical Journal 44, 298–310 (2003). https://doi.org/10.1023/A:1022988905490
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DOI: https://doi.org/10.1023/A:1022988905490