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

Volume 197 / 2010

Jorge J. Betancor, Eleonor Harboure, Adam Nowak, Beatriz Viviani Studia Mathematica 197 (2010), 101-140 MSC: Primary 42C05; Secondary 42C20. DOI: 10.4064/sm197-2-1

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.

Authors

  • Jorge J. BetancorDepartamento de Análisis Matemático
    Universidad de la Laguna
    Campus de Anchieta
    Avda. Astrofísico Francisco Sánchez, s//n
    38271 La Laguna (Sta. Cruz de Tenerife), Spain
    e-mail
  • Eleonor HarboureIMAL-FIQ
    CONICET-Universidad Nacional del Litoral
    Guemes 3450
    3000 Santa Fe, Argentina
    e-mail
  • Adam NowakInstytut Matematyki i Informatyki
    Politechnika Wrocławska
    Wybrzeże Wyspiańskiego 27
    50-370 Wrocław, Poland
    e-mail
  • Beatriz VivianiIMAL-FIQ
    CONICET-Universidad Nacional del Litoral
    Guemes 3450
    3000 Santa Fe, Argentina
    e-mail

Search for IMPAN publications

Query phrase too short. Type at least 4 characters.

Rewrite code from the image

Reload image

Reload image