Hypoelliptic functional inequalities and applications

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Date

2023

Journal Title

Journal ISSN

Volume Title

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.

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Keywords

Rellich inequality, Lie groups, Preliminaries

Citation

Seitkan M / Hypoelliptic functional inequalities and applications / 7M05401 - Department of Mathematics and Natural Sciences / 2023

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