Convergence theorems and measures of noncompactness for noncompact Urysohn operators in ideal spaces

DOI10.1216/JIEA/1181075259zbMath1092.47052OpenAlexW2022725770MaRDI QIDQ2567966

Martin Väth

Publication date: 6 October 2005

Published in: Journal of Integral Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/jiea/1181075259

zbMATH Keywords

measure of noncompactnessintegral operatorsUrysohn operatorideal spacespace of measurable functions

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) Other nonlinear integral equations (45G10) Particular nonlinear operators (superposition, Hammerstein, Nemytski?, Uryson, etc.) (47H30) Integral operators (45P05) Abstract integral equations, integral equations in abstract spaces (45N05)

Related Items (2)

Compactness of linear integral operators in ideal spaces of vector functions ⋮ Compactness estimates for integral operators of vector functions with nonmeasurable kernels

Cites Work

• Measures of noncompactness and condensing operators. Transl. from the Russian by A. Iacob
• Ideal spaces
• Compactness estimates for integral operators of vector functions with nonmeasurable kernels
• Approximation, complete continuity, and uniform measurability of Uryson operators on general measure spaces
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Convergence theorems and measures of noncompactness for noncompact Urysohn operators in ideal spaces