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Monatshefte für Mathematik

, Volume 167, Issue 3–4, pp 375–403

First Online: 22 October 2011Received: 27 January 2011Accepted: 04 October 2011

Abstract

We study several fundamental operators in harmonic analysis related to Bessel operators, including maximal operators related to heat and Poisson semigroups, Littlewood–Paley–Stein square functions, multipliers of Laplace transform type and Riesz transforms. We show that these are vector-valued Calderón–Zygmund operators in the sense of the associated space of homogeneous type, and hence their mapping properties follow from the general theory.

KeywordsBessel operator Bessel semigroup Maximal operator Square function Multiplier Riesz transform Calderón–Zygmund operator Communicated by K. Gröchenig.

J. J. Betancor was partially supported by MTM2007-65609. A. J. Castro was supported by a grant for Master studies of -la Caixa-. A. Nowak was partially supported by MNiSW Grant N N201 417839.

Mathematics Subject Classification 201042C05 primary 42C20 secondary  Download to read the full article text



Author: Jorge J. Betancor - Alejandro J. Castro - Adam Nowak

Source: https://link.springer.com/







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