Estimates for the norm of the Hardy operator in operator ideals

DOI10.1134/s0037446624020083MaRDI QIDQ6203334

M. G. Nasyrova, Elena Lomakina

Publication date: 27 March 2024

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

zbMATH Keywords

Hardy operatorapproximation numbersLorentz spacesoperator ideal\( s \)-numbers

Mathematics Subject Classification ID

Special classes of linear operators (47Bxx) Linear function spaces and their duals (46Exx) Integral, integro-differential, and pseudodifferential operators (47Gxx)

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
• The estimates of the approximation numbers of the Hardy operator acting in the Lorenz spaces in the case ${\it {\bf \max}(r,s)\leq q}$
• On estimates for the norms of the Hardy operator acting in the Lorenz spaces
• Classical Fourier Analysis
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