BMO functions and balayage of Carleson measures in the Bessel setting

Víctor Almeida, Jorge J. Betancor, Alejandro J. Castro, Juan C. Fariña, Lourdes Rodríguez-Mesa

Research output: Contribution to journalArticle

Abstract

By BMOo(R) we denote the space consisting of all those odd and bounded mean oscillation functions on R. In this paper we characterize the functions in BMOo(R) with bounded support as those ones that can be written as a sum of a bounded function on (0 , ∞) plus the balayage of a Carleson measure on (0 , ∞) × (0 , ∞) with respect to the Poisson semigroup associated with the Bessel operator Bλ:=-x-λddxx2λddxx-λ,λ>0.This result can be seen as an extension to Bessel setting of a classical result due to Carleson.

Original languageEnglish
JournalRevista Matematica Complutense
DOIs
Publication statusAccepted/In press - Jan 1 2018

Keywords

  • Balayage
  • Bessel operators
  • BMO functions
  • Carleson measure

ASJC Scopus subject areas

  • Mathematics(all)

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