JOURNAL OF INEQUALITIES AND APPLICATIONS, 2014 (SCI-Expanded)
In this paper, the mean value formula depends on the Bessel-generalized shift operator corresponding to the solutions of the boundary value problem related to the multidimensional Bessel operator are studied. In addition, Riesz transforms R-B related to the multidimensional Bessel operators are studied. Since a Bessel-generalized shift operator is a translation operator corresponding to the multidimensional Bessel operator, we construct a family of R-B by using a Bessel-generalized shift operator. Finally, we analyze weighted inequalities involving R-B.