Year: 2025
Type: preprint
Abstract: In this article, we define fractal operators motivated by the works of Barnsley and Navascués on various function spaces such as energy space, Lebesgue space, and oscillation space on the well-known fractal domain Sierpiński gasket. We further explore the properties of these operators from the perspectives of operator and approximation theory.
Source: arXiv (Cornell University)
Authors: Yadav, Asheesh Kumar, Kumar, Himanshu, Verma, Saurabh, Selmi, Bilel
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4415239385