Geodesic
Convergence a.e. of spherical partial Fourier integrals on weighted spaces for radial functions: endpoint estimates
María J. Carro1 ; Elena Prestini2
1 Departament de Matemática Aplicada i Análisi Universitat de Barcelona 08071 Barcelona, Spain
2 Dipartimento di Matematica Università di Roma “Tor Vergata” 00133 Rome, Italy
Studia Mathematica, Tome 192 (2009) no. 2, pp. 173-194 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

Voir la notice de l'article

We prove some extrapolation results for operators bounded on radial $L^p$ functions with $p\in (p_0, p_1)$ 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.
DOI : 10.4064/sm192-2-5
Keywords: prove extrapolation results operators bounded radial functions deduce endpoint estimates apply results prove almost everywhere convergence spherical partial fourier integrals obtain estimates maximal bochner riesz type operators acting radial functions several weighted spaces

María J. Carro 1 ; Elena Prestini 2

1 Departament de Matemática Aplicada i Análisi Universitat de Barcelona 08071 Barcelona, Spain
2 Dipartimento di Matematica Università di Roma “Tor Vergata” 00133 Rome, Italy 
@article{10_4064_sm192_2_5,
     author = {Mar{\'\i}a J. Carro and Elena Prestini},
     title = {Convergence a.e. of spherical partial {Fourier} integrals
 on weighted spaces for radial functions: endpoint estimates},
     journal = {Studia Mathematica},
     pages = {173--194},
     year = {2009},
     volume = {192},
     number = {2},
     doi = {10.4064/sm192-2-5},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/sm192-2-5/}
}
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
SP  - 173
EP  - 194
VL  - 192
IS  - 2
UR  - http://geodesic.mathdoc.fr/articles/10.4064/sm192-2-5/
DO  - 10.4064/sm192-2-5
LA  - en
ID  - 10_4064_sm192_2_5
ER  - 
%0 Journal Article
%A María J. Carro
%A Elena Prestini
%T Convergence a.e. of spherical partial Fourier integrals
 on weighted spaces for radial functions: endpoint estimates
%J Studia Mathematica
%D 2009
%P 173-194
%V 192
%N 2
%U http://geodesic.mathdoc.fr/articles/10.4064/sm192-2-5/
%R 10.4064/sm192-2-5
%G en
%F 10_4064_sm192_2_5
María J. Carro; Elena Prestini. Convergence a.e. of spherical partial Fourier integrals
 on weighted spaces for radial functions: endpoint estimates. Studia Mathematica, Tome 192 (2009) no. 2, pp. 173-194. doi: 10.4064/sm192-2-5

Cité par Sources :