Maximal operators, Riesz transforms and Littlewood-Paley functions associated with Bessel operators on BMO

  • Betancor J
  • Ruiz A
  • Fariña J
 et al. 
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Abstract

In this paper we study boundedness properties of certain harmonic analysis operators (maximal operators for heat and Poisson semigroups, Riesz transforms and Littlewood-Paley g-functions) associated with Bessel operators, on the space BMOo (R) that consists of the odd functions with bounded mean oscillation on R. © 2009 Elsevier Inc. All rights reserved.

Author-supplied keywords

  • BMO
  • Bessel operator
  • Heat and Poisson semigroups
  • Riesz transform
  • g-function

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