Inequalities and interpolation.

L. Maligranda; L. E. Persson

Collectanea Mathematica (1993)

  • Volume: 44, Issue: 1-2-3, page 181-199
  • ISSN: 0010-0757

Abstract

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Some examples of the close interaction between inequalities and interpolation are presented and discussed. An interpolation technique to prove generalized Clarkson inequalities is pointed out. We also discuss and apply to the theory of interpolation the recently found facts that the Gustavsson-Peetre class P+- can be described by one Carlson type inequality and that the wider class P0 can be characterized by another Carlson type inequality with blocks.

How to cite

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Maligranda, L., and Persson, L. E.. "Inequalities and interpolation.." Collectanea Mathematica 44.1-2-3 (1993): 181-199. <http://eudml.org/doc/42078>.

@article{Maligranda1993,
abstract = {Some examples of the close interaction between inequalities and interpolation are presented and discussed. An interpolation technique to prove generalized Clarkson inequalities is pointed out. We also discuss and apply to the theory of interpolation the recently found facts that the Gustavsson-Peetre class P+- can be described by one Carlson type inequality and that the wider class P0 can be characterized by another Carlson type inequality with blocks.},
author = {Maligranda, L., Persson, L. E.},
journal = {Collectanea Mathematica},
keywords = {Algebra de operadores; Desigualdades; Interpolación; blocks; interaction between inequalities and interpolation; Clarkson type inequalities; Gustavsson-Peetre class; Carlson type inequality},
language = {eng},
number = {1-2-3},
pages = {181-199},
title = {Inequalities and interpolation.},
url = {http://eudml.org/doc/42078},
volume = {44},
year = {1993},
}

TY - JOUR
AU - Maligranda, L.
AU - Persson, L. E.
TI - Inequalities and interpolation.
JO - Collectanea Mathematica
PY - 1993
VL - 44
IS - 1-2-3
SP - 181
EP - 199
AB - Some examples of the close interaction between inequalities and interpolation are presented and discussed. An interpolation technique to prove generalized Clarkson inequalities is pointed out. We also discuss and apply to the theory of interpolation the recently found facts that the Gustavsson-Peetre class P+- can be described by one Carlson type inequality and that the wider class P0 can be characterized by another Carlson type inequality with blocks.
LA - eng
KW - Algebra de operadores; Desigualdades; Interpolación; blocks; interaction between inequalities and interpolation; Clarkson type inequalities; Gustavsson-Peetre class; Carlson type inequality
UR - http://eudml.org/doc/42078
ER -

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