6,505 research outputs found
Partial measures
We study sigma-additive set functions defined on a hereditary subclass of a
sigma-algebra and taken values in the extended real line. Analogs of the Jordan
decomposition theorem and the Radon-Nikodym theorem are obtained.Comment: 4 pages. Submitted to Lobachevskii Journal of Mathematics (
http://ljm.ksu.ru
Nikolskii inequality and functional classes on compact Lie groups
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.Comment: 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 proof
- …