We prove a range of critical Hardy inequalities and uncertainty type principles on one of most general subclasses of nilpotent Lie groups, namely the class of homogeneous groups. Moreover, we establish a new type of critical ...
In this paper we describe the Euler semigroup {e−tE∗E}t>0 on homogeneous Lie groups, which allows us to obtain various types of the Hardy–Sobolev and Gagliardo–Nirenberg type inequalities for the Euler operator E. Moreover, ...
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 ...
We prove L-P-Caffarelli-Kohn-Nirenberg type inequalities on homogeneous groups, which is one of most general subclasses of nilpotent Lie groups, all with sharp constants. We also discuss some of their consequences. Already ...
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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