Some results concerning Riesz-Bessel transforms of high order

Abstract

In the present study, we introduce the sharp function related to the Laplace-Bessel differential operator and investigate its properties on the variable Lebesgue spaces. Moreover, we obtain that Riesz-Bessel transforms of high order are bounded on variable Lebesgue spaces L-p(center dot),L-gamma (R-k,+(n)).