Boundedness of variation operators associated with the heat semigroup generated by high order Schr\"odinger type operators
Classical Analysis and ODEs
2019-06-13 v2 Functional Analysis
Abstract
In this paper, we derive the -boundedness of the variation operators associated with the heat semigroup which is generated by the high order Schr\"odinger type operator . Further more, we prove the boundedness of the variation operators on Morrey spaces. In the proof of the main results, we always make use of the variation inequalities associated with the heat semigroup generated by the biharmonic operator
Keywords
Cite
@article{arxiv.1902.00286,
title = {Boundedness of variation operators associated with the heat semigroup generated by high order Schr\"odinger type operators},
author = {Suying Liu and Chao Zhang},
journal= {arXiv preprint arXiv:1902.00286},
year = {2019}
}
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14 pages