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arXiv · 2506.14172

On slice regular fractal-fractional Dirichlet type spaces

José Oscar González-Cervantes·Carlos Alejandro Moreno-Muñoz·Juan Bory-Reyes
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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.

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José Oscar González-Cervantes, Carlos Alejandro Moreno-Muñoz, Juan Bory-Reyes. 2025-06-17. On slice regular fractal-fractional Dirichlet type spaces. https://arxiv.org/abs/2506.14172

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