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Sibirskii Matematicheskii Zhurnal, 2019, Volume 60, Number 4, Pages 801–814
DOI: https://doi.org/10.33048/smzh.2019.60.408 (Mi smj3116) 		 
Estimate for the entropy numbers of the weighted Hardy operators that act from Banach space to $q$-Banach space

E. N. Lomakinaab, M. G. Nasyrovac

a Khabarovsk State University of Economics and Law, Khabarovsk, Russia
b Far Eastern State Transport University, Khabarovsk, Russia
c Computing Center of the Far Eastern Branch of the Russian Academy of Sciences, Khabarovsk, Russia
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DOI: https://doi.org/10.33048/smzh.2019.60.408
Abstract: We study weighted Hardy operators from the Banach space $L_p$ to the $q$-Banach space $L_q$ and obtain estimates for the entropy numbers of one- and two-weighted Hardy operators with nonnegative measurable weight functions.
Keywords: integral operator, Hardy operator, entropy number, approximation number.
Received: 06.11.2018
Revised: 26.02.2019
Accepted: 12.03.2019
English version:
Siberian Mathematical Journal, 2019, Volume 60, Issue 4, Pages 624–635
DOI: https://doi.org/10.1134/S0037446619040086
Bibliographic databases:
Document Type: Article
UDC: 517.98
Language: Russian
Citation: E. N. Lomakina, M. G. Nasyrova, “Estimate for the entropy numbers of the weighted Hardy operators that act from Banach space to $q$-Banach space”, Sibirsk. Mat. Zh., 60:4 (2019), 801–814; Siberian Math. J., 60:4 (2019), 624–635
Citation in format AMSBIB
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\pages 801--814
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\jour Siberian Math. J.
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    		Сибирский математический журнал Siberian Mathematical Journal
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