On Uryson operators with partial integrals in Lebesgue spaces with mixed norm

DOI10.4171/ZAA/804zbMath0895.47050MaRDI QIDQ1381115

D. Massart

Publication date: 21 September 1998

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)

zbMATH Keywords

partial integral operatorsLebesgue spaces with mixed norm

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) Integral operators (47G10)

Related Items (1)

Abstract Volterra equations of the second kind

Cites Work

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• The spaces \(L^ p\), with mixed norm
• A necessary and sufficient condition for boundedness and continuity of a certain class of Uryson operators
• On the application of the newton-kantorovich method to nonlinear integral equations of uryson type

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