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Browsing Mathematics by Author "403c3eb6-c2a2-4754-b024-c4845c6eceb0"

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Browsing Mathematics by Author "403c3eb6-c2a2-4754-b024-c4845c6eceb0"

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  • CRITICAL HARDY INEQUALITIES 
    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 ...
  • Euler semigroup, Hardy–Sobolev and Gagliardo–Nirenberg type inequalities on homogeneous groups 
    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, ...
  • GEOMETRIC HARDY AND HARDY-SOBOLEV INEQUALITIES ON HEISENBERG GROUPS 
    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 ...
  • LINEAR DIFFERENTIAL EQUATIONS WITH VARIABLE COEFFICIENTS AND MITTAG-LEFFLER KERNELS 
    Fernandez, Arran; Restrepo, Joel E.; Suragan, Durvudkhan (Alexandria Engineering Journal, 2021-10-27)
    Fractional differential equations with constant coefficients can be readily handled by a number of methods, but those with variable coefficients are much more challenging. Recently, a method has appeared in the literature ...
  • L-P-CAFFARELLI-KOHN-NIRENBERG TYPE INEQUALITIES ON HOMOGENEOUS GROUPS 
    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 ...
  • (P,Q)-SUB-LAPLACIANS ON THE HEISENBERG GROUP 
    Abdikarim, Aidana; Suragan, Durvudkhan (Nazarbayev University School of Sciences and Humanities, 2020-08-01)
    The main purpose of this capstone project is to do some analysis related to (p,q)-sub-Laplacians on the Heisenberg group. In the first part of the project, Green’s identities for (p,q)-sub-Laplacians are given on the ...
  • SUBELLIPTIC GEOMETRIC HARDY TYPE INEQUALITIES ON HALF‑SPACES AND CONVEX DOMAINS 
    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 ...
  • Weighted L^{p}-Hardy and L^{p}-Rellich inequalities with boundary terms on stratified Lie groups 
    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 ...
  • Weighted L-p-Hardy and L-p-Rellich inequalities with boundary terms on stratified Lie groups 
    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 ...