V. D. Stepanov, E. P. Ushakova, “Approximation Numbers of the Two-Dimensional Rectangular Hardy Operator”, Mat. Zametki, 2024, Volume 115, Issue 3,Pages <nobr>422

Approximation Numbers of the Two-Dimensional Rectangular Hardy Operator

V. D. Stepanov^a, E. P. Ushakova^b

^a Computer Centre of Far Eastern Branch RAS, Khabarovsk
^b V. A. Trapeznikov Institute of Control Sciences of Russian Academy of Sciences, Moscow

Abstract: Upper and lower bounds are obtained for the approximation numbers of the two-dimensional rectangular Hardy operator on weighted Lebesgue spaces on $\mathbb{R}_+^2$.

Keywords: two-dimensional Hardy integral operator, weighted Lebesgue space, approximation number.

UDC: 517.51

Received: 28.07.2023
Revised: 30.10.2023

DOI: 10.4213/mzm14121