# A commutator theorem with applications.

Collectanea Mathematica (1993)

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

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topMilman, 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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