INTERPOLATION THEOREMS FOR NONLINEAR URYSOHN INTEGRAL OPERATORS IN GENERAL MORREY-TYPE SPACES

DOI10.32523/2077-9879-2020-11-4-87-94zbMath1474.42094OpenAlexW3114077248MaRDI QIDQ4963458

E. D. Nursultanov, Victor I. Burenkov

Publication date: 18 February 2021

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

Full work available at URL: http://mathnet.ru/eng/emj385

zbMATH Keywords

interpolation theoremsUrysohn integral operatorsgeneral Morrey-type 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) Function spaces arising in harmonic analysis (42B35) Linear operators on function spaces (general) (47B38) Interpolation between normed linear spaces (46B70)

Related Items (4)

Interpolation theorems for nonlinear operators in general Morrey-type spaces and their applications ⋮ ON THE INEQUALITY OF DIFFERENT METRICS FOR MULTIPLE FOURIER-HAAR SERIES ⋮ BOUNDEDNESS OF THE GENERALIZED RIESZ POTENTIAL IN LOCAL MORREY TYPE SPACES ⋮ On the convolution operator in Morrey spaces

Cites Work

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• Description of the interpolation spaces for a pair of local Morrey-type spaces and their generalizations
• Description of interpolation spaces for local Morrey-type spaces
• A necessary and sufficient condition for boundedness and continuity of a certain class of Uryson operators
• Corrigenda to ``Unique continuation for Schrödinger operators and a remark on interpolation of Morrey spaces
• Multipliers and Morrey spaces
• Interpolation methods for stochastic processes spaces
• Necessary and sufficient conditions for the boundedness of fractional maximal operators in local Morrey-type spaces
• Necessary and sufficient conditions for the boundedness of the maximal operator in local Morrey-type spaces
• On the theory of \({\mathcal L}_{p, \lambda}\) spaces
• Interpolation of Operators with Change of Measures
• Necessary and sufficient conditions for boundedness of the maximal operator in local Morrey-type spaces
• Marcinkiewicz-type interpolation theorem for Morrey-type spaces and its corollaries
• Marcinkiewicz-type interpolation theorem for Morrey-type spaces and its corollaries
• £^(p,λ)‐spaces and interpolation
• Weak*-sequential closure and the characteristic of subspaces of conjugate Banach spaces
• A new approach in interpolation spaces

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