Convergence a.e. of spherical partial Fourier integrals on weighted spaces for radial functions: endpoint estimates

María J. Carro, and Elena Prestini. "Convergence a.e. of spherical partial Fourier integrals on weighted spaces for radial functions: endpoint estimates." Studia Mathematica 192.2 (2009): 173-194. <http://eudml.org/doc/285359>.

@article{MaríaJ2009,
abstract = {We prove some extrapolation results for operators bounded on radial $L^\{p\}$ functions with p ∈ (p₀,p₁) and deduce some endpoint estimates. We apply our results to prove the almost everywhere convergence of the spherical partial Fourier integrals and to obtain estimates on maximal Bochner-Riesz type operators acting on radial functions in several weighted spaces.},
author = {María J. Carro, Elena Prestini},
journal = {Studia Mathematica},
keywords = {extrapolation theory; Hardy–Littlewood maximal operator; Carleson maximal operator; Muckenhoupt weights},
language = {eng},
number = {2},
pages = {173-194},
title = {Convergence a.e. of spherical partial Fourier integrals on weighted spaces for radial functions: endpoint estimates},
url = {http://eudml.org/doc/285359},
volume = {192},
year = {2009},
}

TY - JOUR
AU - María J. Carro
AU - Elena Prestini
TI - Convergence a.e. of spherical partial Fourier integrals on weighted spaces for radial functions: endpoint estimates
JO - Studia Mathematica
PY - 2009
VL - 192
IS - 2
SP - 173
EP - 194
AB - We prove some extrapolation results for operators bounded on radial $L^{p}$ functions with p ∈ (p₀,p₁) and deduce some endpoint estimates. We apply our results to prove the almost everywhere convergence of the spherical partial Fourier integrals and to obtain estimates on maximal Bochner-Riesz type operators acting on radial functions in several weighted spaces.
LA - eng
KW - extrapolation theory; Hardy–Littlewood maximal operator; Carleson maximal operator; Muckenhoupt weights
UR - http://eudml.org/doc/285359
ER -