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Funktsional'nyi Analiz i ego Prilozheniya, 2012, Volume 46, Issue 4, Pages 91–94
DOI: https://doi.org/10.4213/faa3090 (Mi faa3090) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Brief communications

Sharp Interpolation Theorems in Couples of $L_p$ Spaces for Generalized Lions–Peetre Spaces of Means

V. I. Ovchinnikov

Voronezh State University
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DOI: https://doi.org/10.4213/faa3090
Abstract: Sharp interpolation theorems for linear operators acting on arbitrary couples of $L_p$ spaces are found in the family of generalized Lions–Peetre spaces of means. This family includes the Lorentz spaces with functional quasi-concave parameters, the Orlicz spaces, and spaces similar to them.
Keywords: Lebesgue space, Lorentz space with functional parameters, Orlicz space, interpolation theorem for linear operators, sharp interpolation theorem, generalized Lions–Peetre space of means.
Received: 31.01.2011
English version:
Functional Analysis and Its Applications, 2012, Volume 46, Issue 4, Pages 313–315
DOI: https://doi.org/10.1007/s10688-012-0039-8
Bibliographic databases:
Document Type: Article
UDC: 517.982
Language: Russian
Citation: V. I. Ovchinnikov, “Sharp Interpolation Theorems in Couples of $L_p$ Spaces for Generalized Lions–Peetre Spaces of Means”, Funktsional. Anal. i Prilozhen., 46:4 (2012), 91–94; Funct. Anal. Appl., 46:4 (2012), 313–315
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Функциональный анализ и его приложения Functional Analysis and Its Applications
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