Boundedness of the Gaussian Riesz Potentials on Gaussian variable Lebesgue spaces

Eduard Navas, Ebner Pineda, Wilfredo O. Urbina

In this paper we prove the boundedness of the Gaussian Riesz potentials $I_{\beta }$, for $\beta \ge 1$ on $L^{p(\cdot )}({\gamma }_d)$, the Gaussian variable Lebesgue spaces under a certain additiona…