Geodesic
Mapping properties of fundamental operators in harmonic analysis related to Bessel operators
Jorge J. Betancor1 ; Eleonor Harboure2 ; Adam Nowak3 ; Beatriz Viviani2
1Departamento de Análisis Matemático Universidad de la Laguna Campus de Anchieta Avda. Astrofísico Francisco Sánchez, s//n 38271 La Laguna (Sta. Cruz de Tenerife), Spain
2IMAL-FIQ CONICET-Universidad Nacional del Litoral Guemes 3450 3000 Santa Fe, Argentina
3Instytut Matematyki i Informatyki Politechnika Wrocławska Wybrzeże Wyspiańskiego 27 50-370 Wrocław, Poland
Studia Mathematica, Tome 197 (2010) no. 2, pp. 101-140
Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

Voir la notice de l'article

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.
DOI : 10.4064/sm197-2-1
Keywords: obtain sharp power weighted weak type restricted weak type inequalities heat poisson integral maximal operators riesz transform littlewood paley type square function emerging naturally harmonic analysis related bessel operators

Jorge J. Betancor  1   ; Eleonor Harboure  2   ; Adam Nowak  3   ; Beatriz Viviani  2

1 Departamento de Análisis Matemático Universidad de la Laguna Campus de Anchieta Avda. Astrofísico Francisco Sánchez, s//n 38271 La Laguna (Sta. Cruz de Tenerife), Spain
2 IMAL-FIQ CONICET-Universidad Nacional del Litoral Guemes 3450 3000 Santa Fe, Argentina
3 Instytut Matematyki i Informatyki Politechnika Wrocławska Wybrzeże Wyspiańskiego 27 50-370 Wrocław, Poland 
@article{10_4064_sm197_2_1,
     author = {Jorge J. Betancor and Eleonor Harboure and Adam Nowak and Beatriz Viviani},
     title = {Mapping properties of fundamental operators in
 harmonic analysis related to {Bessel} operators},
     journal = {Studia Mathematica},
     pages = {101--140},
     year = {2010},
     volume = {197},
     number = {2},
     doi = {10.4064/sm197-2-1},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/sm197-2-1/}
}
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
SP  - 101
EP  - 140
VL  - 197
IS  - 2
UR  - http://geodesic.mathdoc.fr/articles/10.4064/sm197-2-1/
DO  - 10.4064/sm197-2-1
LA  - en
ID  - 10_4064_sm197_2_1
ER  - 
%0 Journal Article
%A Jorge J. Betancor
%A Eleonor Harboure
%A Adam Nowak
%A Beatriz Viviani
%T Mapping properties of fundamental operators in
 harmonic analysis related to Bessel operators
%J Studia Mathematica
%D 2010
%P 101-140
%V 197
%N 2
%U http://geodesic.mathdoc.fr/articles/10.4064/sm197-2-1/
%R 10.4064/sm197-2-1
%G en
%F 10_4064_sm197_2_1
Jorge J. Betancor; Eleonor Harboure; Adam Nowak; Beatriz Viviani. Mapping properties of fundamental operators in
 harmonic analysis related to Bessel operators. Studia Mathematica, Tome 197 (2010) no. 2, pp. 101-140. doi: 10.4064/sm197-2-1

Cité par Sources :