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A necessary and sufficient condition for boundedness and continuity of a certain class of Uryson operators

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Publication:1138752
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DOI10.1007/BF00970044zbMath0432.45017MaRDI QIDQ1138752

G. A. Suvorchenkova, Muhtarbay Otelbaev

Publication date: 1979

Published in: Siberian Mathematical Journal (Search for Journal in Brave)


zbMATH Keywords

continuityboundednessLp-spaces


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) Integral operators (45P05) Integral, integro-differential, and pseudodifferential operators (47Gxx)


Related Items (6)

Interpolation theorems for nonlinear operators in general Morrey-type spaces and their applications ⋮ Professor Mukhtarbay Otelbaev: Citation for his 75th birthday ⋮ On Uryson operators with partial integrals in Lebesgue spaces with mixed norm ⋮ On the convexity of images of nonlinear integral operators ⋮ INTERPOLATION THEOREMS FOR NONLINEAR URYSOHN INTEGRAL OPERATORS IN GENERAL MORREY-TYPE SPACES ⋮ Lipschitz and contractiveness criteria for nonlinear integral operators






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