Maximal operators, Riesz transforms and Littlewood-Paley functions associated with Bessel operators on BMO

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Abstract

In this paper we study boundedness properties of certain harmonic analysis operators (maximal operators for heat and Poisson semigroups, Riesz transforms and Littlewood-Paley g-functions) associated with Bessel operators, on the space BMOo(R) that consists of the odd functions with bounded mean oscillation on R. © 2009 Elsevier Inc. All rights reserved.

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Betancor, J. J., Ruiz, A. C., Fariña, J. C., & Rodríguez-Mesa, L. (2010). Maximal operators, Riesz transforms and Littlewood-Paley functions associated with Bessel operators on BMO. Journal of Mathematical Analysis and Applications, 363(1), 310–326. https://doi.org/10.1016/j.jmaa.2009.08.006

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