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Browsing Articles by Author "05f133d3-d0ec-44c1-8287-43a3fa7055d9"

Browsing Articles by Author "05f133d3-d0ec-44c1-8287-43a3fa7055d9"

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  • Ruzhansky, Michael; Suragan, Durvudkhan (SUOMALAINEN TIEDEAKATEMIA, 2019)
    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 ...
  • Ruzhansky, Michael; Suragan, Durvudkhan; Yessirkegenov, Nurgissa (Springer, 2020-06-10)
    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, ...
  • Ruzhansky, Michael; Sabitbek, Bolys; Suragan, Durvudkhan (SpringerOpen, 2020-07-04)
    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 ...
  • Ozawa, Tohru; Ruzhansky, Michael; Suragan, Durvudkhan (OXFORD UNIV PRESS, 2019-03)
    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 ...
  • Ruzhansky, Michael; Sabitbek, Bolys; Suragan, Durvudkhan (Springer, 2018-06-29)
    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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