Sobolev Embeddings and Hardy Operators

DOI10.1007/978-0-387-85648-3_6zbMath1168.46304OpenAlexW68686157MaRDI QIDQ3613582

David E. Edmunds, W. Desmond Evans

Publication date: 12 March 2009

Published in: Sobolev Spaces In Mathematics I (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-0-387-85648-3_6

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Riesz operators; eigenvalue distributions; approximation numbers, (s)-numbers, Kolmogorov numbers, entropy numbers, etc. of operators (47B06)

Cites Work

• Bernstein widths of Hardy-type operators in a non-homogeneous case
• Entropy numbers, s-numbers, and eigenvalue problems
• Fractals, trees and the Neumann Laplacian
• Remainder estimates for the approximation numbers of weighted Hardy operators acting on \(L^2\)
• Improved estimates for the approximation numbers of Hardy-type operators.
• The Approximation Numbers of Hardy-Type Operators on Trees
• Sobolev Embeddings for Generalized Ridged Domains
• Approximation Numbers of Certain Volterra Integral Operators
• On the Best Constant in Weighted Inequalities for Riemann-Liouville Integrals
• s-Numbers of operators in Banach spaces
• Some Remarks on Rellich's Theorem and the Poincaré Inequality
• Two-sided estimates for the approximation numbers of Hardy-type operators in $L^{∞}$ and L¹
• Approximation and entropy numbers of Volterra operators with application to Brownian motion
• On the approximation numbers of Sobolev embeddings on singular domains and trees
• ON THE APPROXIMATION NUMBERS OF SOBOLEV EMBEDDINGS FOR IRREGULAR DOMAINS
• Weighted Hardy and Poincaré Inequalities on Trees
• Approximation numbers and Kolmogorov widths of Hardy‐type operators in a non‐homogeneous case
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