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

Authors: SİNEM SEZER, SİMTEN BAYRAKÇI, GÜLDANE YILDIZ, RECEP KAHRAMAN

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.

Keywords: Laplace-Bessel differential operator, Generalized translation operator, $BMO$ spaces, $B$-$BMO$ spaces, Weighted Lebesque spaces

Full Text: PDF