Interpolation properties of a scale of spaces.

A. K. Lerner; L. Liflyand

Collectanea Mathematica (2003)

  • Volume: 54, Issue: 2, page 153-161
  • ISSN: 0010-0757

Abstract

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A scale of function spaces is considered which proved to be of considerable importance in analysis. Interpolation properties of these spaces are studied by means of the real interpolation method. The main result consists in demonstrating that this scale is interpolated in a way different from that for Lp spaces, namely, the interpolation space is not from this scale.

How to cite

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Lerner, A. K., and Liflyand, L.. "Interpolation properties of a scale of spaces.." Collectanea Mathematica 54.2 (2003): 153-161. <http://eudml.org/doc/43066>.

@article{Lerner2003,
abstract = {A scale of function spaces is considered which proved to be of considerable importance in analysis. Interpolation properties of these spaces are studied by means of the real interpolation method. The main result consists in demonstrating that this scale is interpolated in a way different from that for Lp spaces, namely, the interpolation space is not from this scale.},
author = {Lerner, A. K., Liflyand, L.},
journal = {Collectanea Mathematica},
keywords = {Interpolación; Espacios de funciones medibles; interpolation; real method; K-functional},
language = {eng},
number = {2},
pages = {153-161},
title = {Interpolation properties of a scale of spaces.},
url = {http://eudml.org/doc/43066},
volume = {54},
year = {2003},
}

TY - JOUR
AU - Lerner, A. K.
AU - Liflyand, L.
TI - Interpolation properties of a scale of spaces.
JO - Collectanea Mathematica
PY - 2003
VL - 54
IS - 2
SP - 153
EP - 161
AB - A scale of function spaces is considered which proved to be of considerable importance in analysis. Interpolation properties of these spaces are studied by means of the real interpolation method. The main result consists in demonstrating that this scale is interpolated in a way different from that for Lp spaces, namely, the interpolation space is not from this scale.
LA - eng
KW - Interpolación; Espacios de funciones medibles; interpolation; real method; K-functional
UR - http://eudml.org/doc/43066
ER -

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