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arXiv · 2508.14436

Barnsley-Navascu\'es fractal operators on Banach spaces on the Sierpi\'nski gasket

Asheesh Kumar Yadav·Himanshu Kumar·Saurabh Verma·Bilel Selmi
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Abstract

In this article, we define fractal operators motivated by the works of Barnsley and Navascu\'es on various function spaces such as energy space, Lebesgue space, and oscillation space on the well-known fractal domain Sierpi\'nski gasket. We further explore the properties of these operators from the perspectives of operator and approximation theory.

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Asheesh Kumar Yadav, Himanshu Kumar, Saurabh Verma, Bilel Selmi. 2025-08-20. Barnsley-Navascu\'es fractal operators on Banach spaces on the Sierpi\'nski gasket. https://arxiv.org/abs/2508.14436

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