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.

UDC: 517.988

Received: 05.05.2015

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

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