@article{Pineda2025, 
author = {Ebner Pineda and Luz Rodriguez and Wilfredo Urbina},
title = {Boundedness of Gaussian Bessel potentials and fractional derivatives on variable Gaussian Besov   −Lipschitz spaces},
year = {2025},
journal = {AIMS Mathematics},
volume = {10},
number = {1},
pages = {1026-1042},
keywords = {variable exponent, fractional derivative, Gaussian measure, Bessel potential, Besov−Lipschitz},
url = {https://www.sciopen.com/article/10.3934/math.2025049},
doi = {10.3934/math.2025049},
abstract = {In this paper, following [6], we study the regularity properties of Bessel potentials and Bessel fractional derivatives in the context of variable Gaussian Besov   −Lipschitz spaces        B          p      (      ⋅      )      ,      q      (      ⋅      )              α        (      γ          d        )  , which were defined and studied in [9], under certain conditions on    p  (  ⋅  ) and    q  (  ⋅  ).}
}