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ON LITTLEWOOD-PALEY FUNCTIONS ASSOCIATED WITH BESSEL OPERATORS
J. J. BETANCOR, J. C. FARIÑA, A. SANABRIA
Journal:

Glasgow Mathematical Journal / Volume 51 / Issue 1 / January 2009

Published online by Cambridge University Press:

01 January 2009, pp. 55-70

Print publication:

January 2009
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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.