Geodesic
Mapping properties of fundamental operators in harmonic analysis related to Bessel operators
Jorge J. Betancor1 ; Eleonor Harboure2 ; Adam Nowak3 ; Beatriz Viviani2
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
Studia Mathematica, Tome 197 (2010) no. 2, pp. 101-140

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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 
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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

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