A remark on the div-curl lemma

Pierre Gilles Lemarié-Rieusset

Studia Mathematica (2012)

  • Volume: 210, Issue: 1, page 77-92
  • ISSN: 0039-3223

Abstract

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We prove the div-curl lemma for a general class of function spaces, stable under the action of Calderón-Zygmund operators. The proof is based on a variant of the renormalization of the product introduced by S. Dobyinsky, and on the use of divergence-free wavelet bases.

How to cite

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Pierre Gilles Lemarié-Rieusset. "A remark on the div-curl lemma." Studia Mathematica 210.1 (2012): 77-92. <http://eudml.org/doc/285463>.

@article{PierreGillesLemarié2012,
abstract = {We prove the div-curl lemma for a general class of function spaces, stable under the action of Calderón-Zygmund operators. The proof is based on a variant of the renormalization of the product introduced by S. Dobyinsky, and on the use of divergence-free wavelet bases.},
author = {Pierre Gilles Lemarié-Rieusset},
journal = {Studia Mathematica},
keywords = {div-curl lemma; singular integral operator; divergence-free wavelets; Hardy space},
language = {eng},
number = {1},
pages = {77-92},
title = {A remark on the div-curl lemma},
url = {http://eudml.org/doc/285463},
volume = {210},
year = {2012},
}

TY - JOUR
AU - Pierre Gilles Lemarié-Rieusset
TI - A remark on the div-curl lemma
JO - Studia Mathematica
PY - 2012
VL - 210
IS - 1
SP - 77
EP - 92
AB - We prove the div-curl lemma for a general class of function spaces, stable under the action of Calderón-Zygmund operators. The proof is based on a variant of the renormalization of the product introduced by S. Dobyinsky, and on the use of divergence-free wavelet bases.
LA - eng
KW - div-curl lemma; singular integral operator; divergence-free wavelets; Hardy space
UR - http://eudml.org/doc/285463
ER -

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