One more theorem on norm equivalence in the Lebesgue space
Functional Analysis
2020-12-29 v1
Abstract
In this paper we consider a norm based on the infinitesimal generator of the shift semigroup in a direction. The relevance of such a focus is guaranteed by an abstract representation of a fractional integro-differential operator by means of a composition of the corresponding infinitesimal generator. The main result of the paper is a theorem establishing equivalence of norms in functional spaces. Even without mentioning the relevance of this result for the constructed theory, we claim it deserves to be considered itself.
Keywords
Cite
@article{arxiv.2012.13688,
title = {One more theorem on norm equivalence in the Lebesgue space},
author = {Maksim V. Kukushkin},
journal= {arXiv preprint arXiv:2012.13688},
year = {2020}
}
Comments
arXiv admin note: text overlap with arXiv:1901.06118