Upper estimates for the approximation numbers of the generalized Laplace transform

DOI10.1134/S008154381308018XzbMath1296.47017arXiv1109.3305OpenAlexW1986799274MaRDI QIDQ2446247

Elena P. Ushakova

Publication date: 16 April 2014

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1109.3305

zbMATH Keywords

approximation numbersLaplace-transformSchatten type class

Mathematics Subject Classification ID

Riesz operators; eigenvalue distributions; approximation numbers, (s)-numbers, Kolmogorov numbers, entropy numbers, etc. of operators (47B06) Laplace transform (44A10)

Cites Work

• Estimates for the singular values of Stieltjes type transforms
• On singular numbers of a generalized Stieltjes transformation
• The measure of non-compactness and approximation numbers of certain Volterra integral operators
• Eigenvalue distribution of compact operators
• Asymptotic estimates for the approximation and entropy numbers of a one-weight Riemann-Liouville operator
• Approximation Numbers of Certain Volterra Integral Operators
• On the Principle of Duality in Lorentz Spaces
• Two-sided estimates for the approximation numbers of Hardy-type operators in $L^{∞}$ and L¹
• On the Lower Bounds for Schatten-Von Neumann Norms of Certain Volterra Integral Operators
• Approximation and entropy numbers of Volterra operators with application to Brownian motion
• The Weighted Hardy Inequality: New Proofs and the Case p = 1
• On compactness of Laplace and Stieltjes type transformations in Lebesgue spaces
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