A commutator theorem with applications.

Mario Milman

Collectanea Mathematica (1993)

  • Volume: 44, Issue: 1-2-3, page 201-210
  • ISSN: 0010-0757

Abstract

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We give an extension of the commutator theorems of Jawerth, Rochberg and Weiss [9] for the real method of interpolation. The results are motivated by recent work by Iwaniek and Sbordone [6] on generalized Hodge decompositions. The main estimates of these authors are based on a commutator theorem for a specific operator acting on Lp spaces and through the use of the complex method of interpolation. In this note we give an extension of the Iwaniek-Sbordone theorem to general real interpolation scales.

How to cite

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Milman, Mario. "A commutator theorem with applications.." Collectanea Mathematica 44.1-2-3 (1993): 201-210. <http://eudml.org/doc/42087>.

@article{Milman1993,
abstract = {We give an extension of the commutator theorems of Jawerth, Rochberg and Weiss [9] for the real method of interpolation. The results are motivated by recent work by Iwaniek and Sbordone [6] on generalized Hodge decompositions. The main estimates of these authors are based on a commutator theorem for a specific operator acting on Lp spaces and through the use of the complex method of interpolation. In this note we give an extension of the Iwaniek-Sbordone theorem to general real interpolation scales.},
author = {Milman, Mario},
journal = {Collectanea Mathematica},
keywords = {Algebra de operadores; Conmutadores; Interpolación; commutator theorems; real method of interpolation; generalized Hodge decompositions; complex method of interpolation; extension of the Iwaniec-Sbordone theorem to general real interpolation scales},
language = {eng},
number = {1-2-3},
pages = {201-210},
title = {A commutator theorem with applications.},
url = {http://eudml.org/doc/42087},
volume = {44},
year = {1993},
}

TY - JOUR
AU - Milman, Mario
TI - A commutator theorem with applications.
JO - Collectanea Mathematica
PY - 1993
VL - 44
IS - 1-2-3
SP - 201
EP - 210
AB - We give an extension of the commutator theorems of Jawerth, Rochberg and Weiss [9] for the real method of interpolation. The results are motivated by recent work by Iwaniek and Sbordone [6] on generalized Hodge decompositions. The main estimates of these authors are based on a commutator theorem for a specific operator acting on Lp spaces and through the use of the complex method of interpolation. In this note we give an extension of the Iwaniek-Sbordone theorem to general real interpolation scales.
LA - eng
KW - Algebra de operadores; Conmutadores; Interpolación; commutator theorems; real method of interpolation; generalized Hodge decompositions; complex method of interpolation; extension of the Iwaniec-Sbordone theorem to general real interpolation scales
UR - http://eudml.org/doc/42087
ER -

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