The estimates of the approximation numbers of the Hardy operator acting in the Lorenz spaces in the case ${\it {\bf \max}(r,s)\leq q}$

DOI10.47910/FEMJ202107MaRDI QIDQ5005769

M. G. Nasyrova, V. V. Nasyrov, Elena Lomakina

Publication date: 11 August 2021

Published in: Dal'nevostochnyi Matematicheskii Zhurnal (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/dvmg448

zbMATH Keywords

compact operatorHardy operatorapproximation numbersentropy numbersLorentz spaces

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Riesz operators; eigenvalue distributions; approximation numbers, (s)-numbers, Kolmogorov numbers, entropy numbers, etc. of operators (47B06) Subnormal operators, hyponormal operators, etc. (47B20) Linear operators on function spaces (general) (47B38)

Related Items (1)

Estimates for the norm of the Hardy operator in operator ideals

Cites Work

• On the Hardy-type integral operators in Banach function spaces
• Eigenvalue distribution of compact operators
• On the singular numbers of certain Volterra integral operators
• Sharp constants related to the triangle inequality in Lorentz spaces
• Weighted Lebesgue and Lorentz Norm Inequalities for the Hardy Operator
• Approximation Numbers of Certain Volterra Integral Operators
• s-Numbers of operators in Banach spaces
• Approximation and entropy numbers of Volterra operators with application to Brownian motion
• On the Compactness and Approximation Numbers of Hardy-Type Integral Operators in Lorentz Spaces
• On estimates for the norms of the Hardy operator acting in the Lorenz spaces
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