On one transformation of parameter-spaces of real interpolation method
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 12 (2016), pp. 46-53
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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.
Mots-clés :
interpolarion coorbit of space
Keywords: $K$-method of interpolation, Orlicz space.
Keywords: $K$-method of interpolation, Orlicz space.
@article{IVM_2016_12_a5,
author = {V. I. Dmitriev},
title = {On one transformation of parameter-spaces of real interpolation method},
journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
pages = {46--53},
publisher = {mathdoc},
number = {12},
year = {2016},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/IVM_2016_12_a5/}
}
V. I. Dmitriev. On one transformation of parameter-spaces of real interpolation method. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 12 (2016), pp. 46-53. http://geodesic.mathdoc.fr/item/IVM_2016_12_a5/