ON LITTLEWOOD-PALEY FUNCTIONS ASSOCIATED WITH BESSEL OPERATORS

Jorge J. Betancor, Juan C. Fariña, Alejandro Sanabria

Type: Article

Publication Date: 2008-12-10

Citations: 50

DOI: https://doi.org/10.1017/s0017089508004539

Abstract

Abstract In this paper, we study L p -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 , γ α ), where d represents the usual metric on (0, ∞) and γ α denotes the doubling measure on (0, ∞) with respect to d defined by d γ α ( x ) = x 2α+1 dx , with α > −1/2.

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