Weak type (1,1) estimates of the maximal function for the Laguerre semigroup in finite dimensions.

Ulla Dinger

Revista Matemática Iberoamericana (1992)

  • Volume: 8, Issue: 1, page 93-120
  • ISSN: 0213-2230

Abstract

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We prove that, in arbitrary finite dimensions, the maximal operator for the Laguerre semigroup is of weak type (1,1). This extends Muckenhoupt's one-dimensional result.

How to cite

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Dinger, Ulla. "Weak type (1,1) estimates of the maximal function for the Laguerre semigroup in finite dimensions.." Revista Matemática Iberoamericana 8.1 (1992): 93-120. <http://eudml.org/doc/39410>.

@article{Dinger1992,
abstract = {We prove that, in arbitrary finite dimensions, the maximal operator for the Laguerre semigroup is of weak type (1,1). This extends Muckenhoupt's one-dimensional result.},
author = {Dinger, Ulla},
journal = {Revista Matemática Iberoamericana},
keywords = {Operadores maximales; Operadores de tipo débil; Análisis armónico; Dimensiones; Estimación; Semigrupos; Finitud; diffusion semigroup; maximal operator; weak type (1,1) estimate; Laguerre semigroup},
language = {eng},
number = {1},
pages = {93-120},
title = {Weak type (1,1) estimates of the maximal function for the Laguerre semigroup in finite dimensions.},
url = {http://eudml.org/doc/39410},
volume = {8},
year = {1992},
}

TY - JOUR
AU - Dinger, Ulla
TI - Weak type (1,1) estimates of the maximal function for the Laguerre semigroup in finite dimensions.
JO - Revista Matemática Iberoamericana
PY - 1992
VL - 8
IS - 1
SP - 93
EP - 120
AB - We prove that, in arbitrary finite dimensions, the maximal operator for the Laguerre semigroup is of weak type (1,1). This extends Muckenhoupt's one-dimensional result.
LA - eng
KW - Operadores maximales; Operadores de tipo débil; Análisis armónico; Dimensiones; Estimación; Semigrupos; Finitud; diffusion semigroup; maximal operator; weak type (1,1) estimate; Laguerre semigroup
UR - http://eudml.org/doc/39410
ER -

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