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The estimates of the Schatten–Neumann norms of one class of integral operators
E. N. Lomakinaab, M. S. Sarychevab a Computer Centre of Far Eastern Branch RAS, Khabarovsk
b Far Eastern State Transport University
Abstract:
The article considers an integral operator acting from Lebesque spaces to Lorentz spaces. The conditions are found under which the compact operator belongs to the Shatten–Neumann classes.
Key words:
Lebesque spaces, Lorentz spaces, integral operator, approximation numbers, Shatten–Neumann norms.
Received: 10.10.2021
Citation:
E. N. Lomakina, M. S. Sarychev, “The estimates of the Schatten–Neumann norms of one class of integral operators”, Dal'nevost. Mat. Zh., 21:2 (2021), 215–230
Linking options:
https://www.mathnet.ru/eng/dvmg459 https://www.mathnet.ru/eng/dvmg/v21/i2/p215
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