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Sibirskii Matematicheskii Zhurnal, 2013, Volume 54, Number 3, Pages 520–535 (Mi smj2437)  
This article is cited in 7 scientific papers (total in 7 papers)

A sharp extrapolation theorem for Lorentz spaces

E. I. Berezhnoĭ

Demidov Yaroslavl' State University, Yaroslavl’, Russia
Full-text PDF (339 kB) Citations (7)
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Abstract: Basing on geometric properties, we give a complete characterization of the Lorentz spaces that can be sharp extrapolation spaces for different types of the behavior of the growth of the norms of an operator in tending to a critical exponent. The results of this article are connected with the calculation of extrapolation constructions in about the same way as theorems of the Calderón–Mityagin type.
Keywords: extrapolation of operators, Lorentz space, sharp extrapolation inequality.
Received: 06.03.2012
English version:
Siberian Mathematical Journal, 2013, Volume 54, Issue 3, Pages 406–418
DOI: https://doi.org/10.1134/S003744661303004X
Bibliographic databases:
Document Type: Article
UDC: 513.88
Language: Russian
Citation: E. I. Berezhnoǐ, “A sharp extrapolation theorem for Lorentz spaces”, Sibirsk. Mat. Zh., 54:3 (2013), 520–535; Siberian Math. J., 54:3 (2013), 406–418
Citation in format AMSBIB
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    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский математический журнал Siberian Mathematical Journal
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    References:68
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