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

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Balayage
Carleson Measure
Friedrich Wilhelm Bessel
Bounded Mean Oscillation
Bessel Operator
Siméon Denis Poisson
Semigroup
Odd
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Keywords

  • Balayage
  • Bessel operators
  • BMO functions
  • Carleson measure

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Almeida, V., Betancor, J. J., Castro, A. J., Fariña, J. C., & Rodríguez-Mesa, L. (Accepted/In press). BMO functions and balayage of Carleson measures in the Bessel setting. Revista Matematica Complutense. https://doi.org/10.1007/s13163-018-0270-9

BMO functions and balayage of Carleson measures in the Bessel setting. / Almeida, Víctor; Betancor, Jorge J.; Castro, Alejandro J.; Fariña, Juan C.; Rodríguez-Mesa, Lourdes.

In: Revista Matematica Complutense, 01.01.2018.

Research output: Contribution to journalArticle

Almeida, Víctor ; Betancor, Jorge J. ; Castro, Alejandro J. ; Fariña, Juan C. ; Rodríguez-Mesa, Lourdes. / BMO functions and balayage of Carleson measures in the Bessel setting. In: Revista Matematica Complutense. 2018.
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