Some extensions of the Marcinkiewicz interpolation theorem in terms of modular inequalities.

DOI10.2969/JMSJ/1191419122zbMath1042.46049OpenAlexW2077014204MaRDI QIDQ1396420

Ljudmila I. Nikolova, María Jesús Carro

Publication date: 30 June 2003

Published in: Journal of the Mathematical Society of Japan (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2969/jmsj/1191419122

zbMATH Keywords

interpolationboundedness of operatorsmodular inequalities

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) Inequalities for sums, series and integrals (26D15) Abstract interpolation of topological vector spaces (46M35)

Related Items (2)

Modular inequalities for the maximal operator in variable Lebesgue spaces ⋮ Composition of operators in Orlicz spaces

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