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Izv. Vyssh. Uchebn. Zaved. Mat., 2016, Number 12, Pages 46–53 (Mi ivm9185)  
On one transformation of parameter-spaces of real interpolation method

V. I. Dmitriev

South-West State University, 94 50 Let Oktyabrya str., Kursk, 305040 Russia

Abstract: In connection with estimation of interpolation orbits and coorbits we introduce a new transformation acting in the class of all parameter-space of real interpolation $K$-method. We calculatethe result of the transformation of classical parameters. It is revealed that the transformation of weighted $L_1$ -spaces leads to Orlicz spaces.

Keywords: interpolarion coorbit of space, $K$-method of interpolation, Orlicz space.

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English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2016, 60:12, 36–42

Bibliographic databases:

UDC: 517.988
Received: 05.05.2015

Citation: V. I. Dmitriev, “On one transformation of parameter-spaces of real interpolation method”, Izv. Vyssh. Uchebn. Zaved. Mat., 2016, no. 12, 46–53; Russian Math. (Iz. VUZ), 60:12 (2016), 36–42

Citation in format AMSBIB
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\by V.~I.~Dmitriev
\paper On one transformation of parameter-spaces of real interpolation method
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2016
\issue 12
\pages 46--53
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\transl
\jour Russian Math. (Iz. VUZ)
\yr 2016
\vol 60
\issue 12
\pages 36--42
\crossref{https://doi.org/10.3103/S1066369X16120069}
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