Besov algebras on Lie groups of polynomial growth

Isabelle Gallagher; Yannick Sire

Studia Mathematica (2012)

  • Volume: 212, Issue: 2, page 119-139
  • ISSN: 0039-3223

Abstract

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We prove an algebra property under pointwise multiplication for Besov spaces defined on Lie groups of polynomial growth. When the setting is restricted to H-type groups, this algebra property is generalized to paraproduct estimates.

How to cite

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Isabelle Gallagher, and Yannick Sire. "Besov algebras on Lie groups of polynomial growth." Studia Mathematica 212.2 (2012): 119-139. <http://eudml.org/doc/285391>.

@article{IsabelleGallagher2012,
abstract = {We prove an algebra property under pointwise multiplication for Besov spaces defined on Lie groups of polynomial growth. When the setting is restricted to H-type groups, this algebra property is generalized to paraproduct estimates.},
author = {Isabelle Gallagher, Yannick Sire},
journal = {Studia Mathematica},
keywords = {Lie groups; Besov spaces; -type groups; Littlewood-Paley decomposition},
language = {eng},
number = {2},
pages = {119-139},
title = {Besov algebras on Lie groups of polynomial growth},
url = {http://eudml.org/doc/285391},
volume = {212},
year = {2012},
}

TY - JOUR
AU - Isabelle Gallagher
AU - Yannick Sire
TI - Besov algebras on Lie groups of polynomial growth
JO - Studia Mathematica
PY - 2012
VL - 212
IS - 2
SP - 119
EP - 139
AB - We prove an algebra property under pointwise multiplication for Besov spaces defined on Lie groups of polynomial growth. When the setting is restricted to H-type groups, this algebra property is generalized to paraproduct estimates.
LA - eng
KW - Lie groups; Besov spaces; -type groups; Littlewood-Paley decomposition
UR - http://eudml.org/doc/285391
ER -

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