Homogeneous Besov Spaces in Dunkl setting
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.
- Publication:
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arXiv e-prints
- Pub Date:
- August 2024
- DOI:
- 10.48550/arXiv.2408.00340
- arXiv:
- arXiv:2408.00340
- Bibcode:
- 2024arXiv240800340D
- Keywords:
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- Mathematics - Classical Analysis and ODEs