摘要
在Coifman与Weiss意义下的乘积齐型空间上,该文利用小波基引入乘积加权Besov空间和乘积加权Triebel-Lizorkin空间,通过乘积Calderón再生公式和几乎正交估计建立乘积加权Besov空间和乘积加权Triebel-Lizorkin空间的Plancherel-Pôlya型等价刻画,函数空间及其范数独立于正交小波基的选取.
On the product spaces of homogeneous type in the sense of Coifman and Weiss,this paper introduces the product weighted Besov space and product weighted Triebel-Lizorkin space based on wavelet basis,and establishes the Plancherel-Pôlya type characterizations of product weighted Besov spaces and product Triebel-Lizorkin spaces via the wavelet reproducing formula and the almost orthogonal estimation,which means that the space are independent of the choice of the orthonormal wavelet basis.
作者
李子燕
陶祥兴
Ziyan Li;Xiangxing Tao(School of Science,Zhejiang University of Science and Technology,Hangzhou 310023)
出处
《数学物理学报(A辑)》
北大核心
2025年第3期665-686,共22页
Acta Mathematica Scientia
基金
国家自然科学基金(12271483)
浙江科技大学研究生科研创新基金(2023yjskc23)。
