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

DOI10.1134/S0037446619040086zbMath1480.47031OpenAlexW2968414194MaRDI QIDQ2010203

M. G. Nasyrova, Elena Lomakina

Publication date: 27 November 2019

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0037446619040086

zbMATH Keywords

integral operatorHardy operatorentropy numberapproximation number

Mathematics Subject Classification ID

Riesz operators; eigenvalue distributions; approximation numbers, (s)-numbers, Kolmogorov numbers, entropy numbers, etc. of operators (47B06) Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37) Operators on Banach spaces (47B01)

Cites Work

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• Entropy numbers of embedding operators for weighted Sobolev spaces
• Entropy numbers of diagonal operators with an application to eigenvalue problems
• Hardy-Steklov integral operators. II
• Kolmogorov widths and approximation numbers of Sobolev classes with singular weights
• Asymptotic estimates for approximation numbers of the Hardy operator in Q-Banach spaces
• Approximation Numbers of Certain Volterra Integral Operators
• Approximation and entropy numbers of Volterra operators with application to Brownian motion

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