Generalized Dunkl-Lipschitz spaces

详细信息    查看全文

• 作者：Samir Kallel
• 关键词：Dunkl operator ; Poisson transform ; Heat transform ; Dunkl transform ; Generalized Dunkl ; Lipschitz space
• 刊名：Journal of Pseudo-Differential Operators and Applications
• 出版年：2016
• 出版时间：December 2016
• 年：2016
• 卷：7
• 期：4
• 页码：533-569
• 全文大小：672 KB
• 刊物类别：Mathematics and Statistics
• 刊物主题：None Assigned
• 出版者：Birkh盲user Basel
• ISSN：1662-999X
• 卷排序：7

文摘

This paper deals with generalized Lipschitz spaces \(\wedge ^k_{\alpha ,p,q}(\mathbb {R})\) in the context of Dunkl harmonic analysis on \(\mathbb {R}\) , for all real \(\alpha \). It also introduces a generalized Dunkl-Lipschitz spaces \(\mathcal{T}\wedge ^k_{\alpha ,p,q}(\mathbb {R}^2_+)\) of k-temperature on \(\mathbb {R}^2_+\). Some properties and continuous embedding of these spaces and the isomorphism of \(\mathcal{T}\wedge ^k_{\alpha ,p,q}(\mathbb {R}^2_+)\) and \(\wedge ^k_{\alpha ,p,q}(\mathbb {R})\) are established.