紧致李群上的 Nikolskii 不等式与函数类
泛函分析
2015-10-22 v1 偏微分方程分析
经典分析与常微分方程
表示论
摘要
在本文中，我们研究紧致李群上的 Besov、Triebel-Lizorkin、Wiener 和 Beurling 函数空间。Nikolskii 不等式在该分析中发挥了重要作用。
引用
@article{arxiv.1507.07111,
title = {Nikolskii inequality and functional classes on compact Lie groups},
author = {E. D. Nursultanov and M. V. Ruzhansky and S. Yu. Tikhonov},
journal= {arXiv preprint arXiv:1507.07111},
year = {2015}
}
备注
In this note (to appear in Funct. Anal. Appl.) we present results from our paper at arXiv:1403.3430 (to appear in Ann. Sc. Norm. Super. Pisa Cl. Sci.) in the simplified setting of compact Lie groups. We refer to the above paper for more general formulations in the setting of compact homogeneous manifolds and for the proofs