Operators of Hardy type

DOI10.1016/j.cam.2006.10.034zbMath1127.47032OpenAlexW2088618288MaRDI QIDQ2381598

Jan Lang, David E. Edmunds

Publication date: 18 September 2007

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2006.10.034

zbMATH Keywords

approximation numbersKolmogorov widthBernstein width\(pq\)-Laplacianweighted Hardy-type operators

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) Linear operators on function spaces (general) (47B38) Integral operators (47G10) Approximation by arbitrary nonlinear expressions; widths and entropy (41A46)

Related Items (2)

The images of integration operators in weighted function spaces ⋮ The Volterra operator is finitely strictly singular from \(L^1\) to \(L^\infty\)

Cites Work

• Bernstein widths of Hardy-type operators in a non-homogeneous case
• n-widths of Sobolev spaces in \(L^ p\)
• Some remarkable sine and cosine functions
• Two-sided estimates on singular values for a class of integral operators on the semi-axis
• Behaviour of the approximation numbers of a Sobolev embedding in the one-dimensional case.
• Remainder estimates for the approximation numbers of weighted Hardy operators acting on \(L^2\)
• Improved estimates for the approximation numbers of Hardy-type operators.
• Über die Ungleichung, welche die Integrale über eine Potenz einer Funktion und über eine andere Potenz ihrer Ableitung verbindet
• The Approximation Numbers of Hardy-Type Operators on Trees
• Entropy Numbers and Approximation Numbers in Function Spacess
• Approximation Numbers of Certain Volterra Integral Operators
• SPECTRAL THEORY AND EMBEDDINGS OF SOBOLEV SPACES
• 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
• Approximation numbers and Kolmogorov widths of Hardy‐type operators in a non‐homogeneous case
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