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ON LITTLEWOOD-PALEY FUNCTIONS ASSOCIATED WITH BESSEL OPERATORS

Published online by Cambridge University Press:  01 January 2009

J. J. BETANCOR ,
J. C. FARIÑA  and
A. SANABRIA
J. J. BETANCOR
Affiliation:
Departamento de Análisis Matemático, Universidad de La Laguna, 38271 – La Laguna, Tenerife, Islas Canarias, España e-mail: jbetanco@ull.es
J. C. FARIÑA
Affiliation:
Departamento de Análisis Matemático, Universidad de La Laguna, 38271 – La Laguna, Tenerife, Islas Canarias, España e-mail: jcfarina@ull.es
A. SANABRIA
Affiliation:
Departamento de Análisis Matemático, Universidad de La Laguna, 38271 – La Laguna, Tenerife, Islas Canarias, España e-mail: asgarcia@ull.es
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Abstract

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In this paper, we study Lp-boundedness properties for higher order Littlewood-Paley g-functions in the Bessel setting. We use the Calderón-Zygmund theory in a homogeneous-type space (in the sense of Coifman and Weiss) ((0, ∞), d, γα), where d represents the usual metric on (0, ∞) and γα denotes the doubling measure on (0, ∞) with respect to d defined by dγα(x) = x2α+1dx, with α > −1/2.

Keywords

42C05 (primary)42C15 (secondary)
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 51 , Issue 1 , January 2009 , pp. 55 - 70
Copyright
Copyright © Glasgow Mathematical Journal Trust 2008

References

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