On estimates for the norms of the Hardy operator acting in the Lorenz spaces

DOI10.47910/FEMJ202019MaRDI QIDQ5151311

Elena Lomakina

Publication date: 17 February 2021

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

Full work available at URL: http://mathnet.ru/eng/dvmg432

zbMATH Keywords

compact operatorHardy operatorapproximation numbersentropy numbersLorentz spacesoperator ideal

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) Linear operators on function spaces (general) (47B38) Integral operators (47G10)

Related Items (3)

The estimates of the Schatten-Neumann norms of one class of integral operators ⋮ Estimates for the norm of the Hardy operator in operator ideals ⋮ The estimates of the approximation numbers of the Hardy operator acting in the Lorenz spaces in the case ${\it {\bf \max}(r,s)\leq q}$

Cites Work

• Estimates for the singular values of Stieltjes type transforms
• 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
• Classical Fourier Analysis
• On the Lower Bounds for Schatten-Von Neumann Norms of Certain Volterra Integral Operators
• On the Compactness and Approximation Numbers of Hardy-Type Integral Operators in Lorentz Spaces
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