Calderón-Zygmund operators in the Bessel setting for all possible type indices

Abstract

In this paper we adapt the technique developed in [17] to show that many harmonic analysis operators in the Bessel setting, including maximal operators, Littlewood-Paley-Stein type square functions, multipliers of Laplace or Laplace-Stieltjes transform type and Riesz transforms are, or can be viewed as, Calderón-Zygmund operators for all possible values of type parameter $\lambda$ in this context. This extends the results obtained recently in [7], which are valid only for a restricted range of $\lambda$.

12 pages

References in corpus (4)

• Calderón-Zygmund operators in the Bessel setting
• Hankel Multipliers of Laplace Transform Type
• Harmonic Analysis Operators Associated with Multidimensional Bessel Operators
• $L^p$-boundedness properties for the maximal operators for semigroups associated with Bessel and Laguerre operators

Cited by in corpus (5)

• Analysis related to all admissible type parameters in the Jacobi setting
• Mapping properties of fundamental harmonic analysis operators in the exotic Bessel framework
• Two weight commutators on spaces of homogeneous type and applications
• On derivatives, Riesz transforms and Sobolev spaces for Fourier-Bessel expansions
• Potential operators associated with Hankel and Hankel-Dunkl transforms