Hypoelliptic functional inequalities and applications
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Date
2023
Authors
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Journal ISSN
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Publisher
Faculty of Engineering and Natural Sciences
Abstract
In this thesis we discuss cylindrical extensions of the improved Rellich inequalities on R* x R"-* with the Euclidean norm |- |, on R*. Actually, we show sharp remainders of the Rellich type inequalities yielding the classical Rellich inequality. Moreover, Rellich type identities and inequalities with more general weights are established. In addition, we present horizontal extensions of these results on stratified Lie groups.
Description
Keywords
Rellich inequality, Lie groups, Preliminaries
Citation
Seitkan M / Hypoelliptic functional inequalities and applications / 7M05401 - Department of Mathematics and Natural Sciences / 2023