Fractional integration and fractional differentiation for ๐-dimensional Jacobi expansions
Fractional integration and fractional differentiation for ๐-dimensional Jacobi expansions
In this paper we consider an alternative orthogonal decomposition of the space $L^2$ associated to the $d$-dimensional Jacobi measure and obtain an analogous result to P.A. Meyer's Multipliers Theorem for d-dimensional Jacobi expansions. Then we define and study the Fractional Integral, the Fractional Derivative and the Bessel potentials induced by โฆ