On slice regular fractal-fractional Dirichlet type spaces
Complex Variables
2025-06-18 v1
Abstract
In this paper, we study some families of right modules of quaternionic slice regular functions induced by a generalized fractal-fractional derivative with respect to a truncated quaternionic exponential function on slices. Important Banach spaces of slice regular functions, namely the Bergman and the Dirichlet modules, are two important elements of one of our families.
Cite
@article{arxiv.2506.14172,
title = {On slice regular fractal-fractional Dirichlet type spaces},
author = {José Oscar González-Cervantes and Carlos Alejandro Moreno-Muñoz and Juan Bory-Reyes},
journal= {arXiv preprint arXiv:2506.14172},
year = {2025}
}