E. N. Lomakina, M. G. Nasyrova, “Estimate for the entropy numbers of the weighted Hardy operators that act from Banach space to <nobr>$q$</nobr>-Banach space”, Sibirsk. Mat. Zh., 2019, Volume 60, Number 4,Pages <nobr>801

Estimate for the entropy numbers of the weighted Hardy operators that act from Banach space to $q$-Banach space

E. N. Lomakina^ab, M. G. Nasyrova^c

^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

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.

UDC: 517.98

Received: 06.11.2018
Revised: 26.02.2019
Accepted: 12.03.2019

DOI: 10.33048/smzh.2019.60.408