邓克尔环境中的同质贝索夫空间

arXiv - MATH - Classical Analysis and ODEs Pub Date : 2024-08-01 DOI:arxiv-2408.00340

Mengmeng Dou, Jiashu Zhang

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引用次数: 0

摘要

本文旨在描述邓克尔背景下的同质贝索夫空间的特征。我们使用了一种新的离散重现公式，即构建块是 Dunkl-Poisson 核的差分，它同时涉及欧几里得度量和 Dunkl 度量。为了引入邓克尔环境中的贝索夫空间，我们引入了新的检验函数和分布，并建立了新的分解。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Homogeneous Besov Space in Dunkl setting

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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arXiv - MATH - Classical Analysis and ODEs

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