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

We 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...

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Bibliographic Details
Published in:Acta mathematica Sinica. English series 2014-04, Vol.30 (4), p.637-648
Main Authors: Castro, Alejandro J., Szarek, Tomasz Z.
Format: Article
Language:English
Subjects:
Applied mathematics
Banach spaces
Estimates
Fourier analysis
Fourier transforms
Functions (mathematics)
Harmonic analysis
Investigations
Laplace transforms
Mathematical analysis
Mathematical models
Mathematics
Mathematics and Statistics
Multipliers
Operators
Studies
Transforms
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Summary:We 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 λ in this context. This extends results existing in the literature, but being justified only for a restricted range of λ .
ISSN:1439-8516
1439-7617
DOI:10.1007/s10114-014-2326-1