Mapping properties of fundamental operators in harmonic analysis related to Bessel operators

Jorge J. Betancor; Eleonor Harboure; Adam Nowak; Beatriz Viviani

Studia Mathematica (2010)

  • Volume: 197, Issue: 2, page 101-140
  • ISSN: 0039-3223

Abstract

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We obtain sharp power-weighted L p , weak type and restricted weak type inequalities for the heat and Poisson integral maximal operators, Riesz transform and a Littlewood-Paley type square function, emerging naturally in the harmonic analysis related to Bessel operators.

How to cite

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Jorge J. Betancor, et al. "Mapping properties of fundamental operators in harmonic analysis related to Bessel operators." Studia Mathematica 197.2 (2010): 101-140. <http://eudml.org/doc/285698>.

@article{JorgeJ2010,
abstract = {We obtain sharp power-weighted $L^\{p\}$, weak type and restricted weak type inequalities for the heat and Poisson integral maximal operators, Riesz transform and a Littlewood-Paley type square function, emerging naturally in the harmonic analysis related to Bessel operators.},
author = {Jorge J. Betancor, Eleonor Harboure, Adam Nowak, Beatriz Viviani},
journal = {Studia Mathematica},
keywords = {Bessel operator; maximal operator; Poisson integral; Riesz transform},
language = {eng},
number = {2},
pages = {101-140},
title = {Mapping properties of fundamental operators in harmonic analysis related to Bessel operators},
url = {http://eudml.org/doc/285698},
volume = {197},
year = {2010},
}

TY - JOUR
AU - Jorge J. Betancor
AU - Eleonor Harboure
AU - Adam Nowak
AU - Beatriz Viviani
TI - Mapping properties of fundamental operators in harmonic analysis related to Bessel operators
JO - Studia Mathematica
PY - 2010
VL - 197
IS - 2
SP - 101
EP - 140
AB - We obtain sharp power-weighted $L^{p}$, weak type and restricted weak type inequalities for the heat and Poisson integral maximal operators, Riesz transform and a Littlewood-Paley type square function, emerging naturally in the harmonic analysis related to Bessel operators.
LA - eng
KW - Bessel operator; maximal operator; Poisson integral; Riesz transform
UR - http://eudml.org/doc/285698
ER -

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