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Turkish Journal of Mathematics

DOI

10.55730/1300-0098.3309

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

First Page

2916

Last Page

2926

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