Turkish Journal of Mathematics
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.
DOI
10.55730/1300-0098.3309
Keywords
Laplace-Bessel differential operator, Generalized translation operator, $BMO$ spaces, $B$-$BMO$ spaces, Weighted Lebesque spaces
First Page
2916
Last Page
2926
Recommended Citation
SEZER, S, BAYRAKÇI, S, YILDIZ, G, & KAHRAMAN, R (2022). On the BMO spaces associated with the Laplace-Bessel differential operator. Turkish Journal of Mathematics 46 (7): 2916-2926. https://doi.org/10.55730/1300-0098.3309