Notes about s‐numbers for a Sobolev type embedding of order 4 and for a higher order integral operator

DOI10.1002/mana.202000206OpenAlexW3125899177MaRDI QIDQ6057887

Petr Gurka, Jan Lang

Publication date: 5 October 2023

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.202000206

zbMATH Keywords

embeddingsextremal functionHardy-type inequalitySobolev-type spaces

Mathematics Subject Classification ID

Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) 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) Integral operators (47G10) Inequalities involving derivatives and differential and integral operators (26D10)

Cites Work

• Asymptotic formulae for \(s\)-numbers of a Sobolev embedding and a Volterra type operator
• Eigenvalues, embeddings and generalised trigonometric functions
• Functional analysis, Sobolev spaces and partial differential equations
• An Introduction to Nonlinear Analysis and Fixed Point Theory
• On the Compactness and Approximation Numbers of Hardy-Type Integral Operators in Lorentz Spaces
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