On the BMO spaces associated with the Laplace-Bessel differential operator

Bayrakçı Doğan S., Sezer Evcan S., Yıldız G., Kahraman R.

TURKISH JOURNAL OF MATHEMATICS, vol.46, no.7, pp.2916-2926, 2022 (SCI-Expanded)

  • Publication Type: Article / Article
  • Volume: 46 Issue: 7
  • Publication Date: 2022
  • Doi Number: 10.55730/1300-0098.3309
  • Journal Name: TURKISH JOURNAL OF MATHEMATICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH, TR DİZİN (ULAKBİM)
  • Page Numbers: pp.2916-2926
  • Akdeniz University Affiliated: Yes

Abstract

In this paper, the characteristic properties of the space of functions of bounded mean oscillation called the $B$-$BMO$ associated with the Laplace-Bessel differential operator are obtained. The John-Nirenberg type inequality on the $B$-$BMO$ space and a relation between the $B$-Poisson integral and the $B$-$BMO$ functions are proved.