Approximation Numbers of the Two-Dimensional Rectangular Hardy Operator

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

Authors
Stepanov V.D. 1 , Ushakova E.P. 2
Journal
Mathematical Notes
Number of issue
3-4
Language
English
Pages
390-404
Status
Published
Volume
115
Year
2024
Organizations
  • 1 Computer Centre of Far Eastern Branch of Russian Academy of Sciences
  • 2 V. A. Trapeznikov Institute of Control Sciences of Russian Academy of Sciences
Keywords
two-dimensional Hardy integral operator; weighted Lebesgue space; Approximation number
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