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