Nikolskii inequality and functional classes on compact Lie groups
Functional Analysis
2015-10-22 v1 Analysis of PDEs
Classical Analysis and ODEs
Representation Theory
Abstract
In this note we study Besov, Triebel-Lizorkin, Wiener, and Beurling function spaces on compact Lie groups. A major role in the analysis is played by the Nikolskii inequality.
Keywords
Cite
@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}
}
Comments
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