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The equivalence theorem for logarithmic interpolation spaces in the quasi-Banach case

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Cobos, Fernando and Besoy, Blanca F. (2020) The equivalence theorem for logarithmic interpolation spaces in the quasi-Banach case. Zeitschrift für Analysis und ihre Anwendungen . ISSN 0232-2064 (In Press)

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Abstract

We study the description by means of the J-functional of logarithmic interpolation spaces (A0, A1) 1, q, A in the category of the p-normed quasi-Banach couples (0 < p ≤ 1). When (A0, A1) is a Banach couple, it is known that the description changes depending on the relationship between q and A. In our more general setting, the parameter p also has an important role as the results show.


Item Type:Article
Uncontrolled Keywords:Espacio de interpolación logarítmica, Funciones características
Palabras clave (otros idiomas):Logarithmic interpolation spaces; J-functional; K- functional; Characteristic function
Subjects:Sciences > Mathematics
Sciences > Mathematics > Mathematical analysis
ID Code:59204
Deposited On:19 Feb 2020 09:27
Last Modified:19 Feb 2020 12:53

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