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arXiv · 2408.00340

Homogeneous Besov Spaces in Dunkl setting

Mengmeng Dou·Jiashu Zhang
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Abstract

The purpose of this paper is to characterize the homogeneous Besov space in the Dunkl setting. We utilize a new discrete reproducing formula, that is, the building blocks are differences of the Dunkl-Poisson kernel which involves both the Euclidean metric and the Dunkl metric. To introduce the Besov spaces in the Dunkl setting, new test functions and distributions are introduced, and a new decomposition is established.

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Mengmeng Dou, Jiashu Zhang. 2024-08-01. Homogeneous Besov Spaces in Dunkl setting. https://arxiv.org/abs/2408.00340

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