In this paper, we present geometric Hardy inequalities for the sub-Laplacian in half-spaces of stratified groups. As a consequence, we obtain the following geometric Hardy inequality in a half-space of the Heisenberg group ...
Ruzhansky, Michael; Sabitbek, Bolys; Suragan, Durvudkhan(Duke University Press, 2020-04-02)
In this paper we present L2
and Lp
versions of the geometric Hardy inequalities in
half-spaces and convex domains on stratifed (Lie) groups. As a consequence, we
obtain the geometric uncertainty principles. We give ...
In this paper, generalised weighted Lp-Hardy, Lp-Caffarelli–Kohn–Nirenberg, and Lp-Rellich inequalities with boundary terms are obtained on stratified Lie groups. As consequences, most of the Hardy type inequalities and ...
Ruzhansky, Michael; Suragan, Durvudkhan; Sabitbek, Bolys(SPRINGER-VERLAG ITALIA SRL, 2019-01)
In this paper, generalised weighted Lp-Hardy, Lp-Caffarelli-Kohn-Nirenberg, and Lp-Rellich inequalities with boundary terms are obtained on stratified Lie groups. As consequences, most of the Hardy type inequalities and ...
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