TY - JOUR
T1 - L p -Caffarelli-Kohn-Nirenberg type inequalities on homogeneous groups
AU - Ozawa, Tohru
AU - Ruzhansky, Michael
AU - Suragan, Durvudkhan
N1 - Funding Information:
The second and third authors were supported in parts by the EPSRC Grants EP/K039407/1 and EP/R003025/1, and by the Leverhulme Grants RPG-2014-02 and RPG-2017-151. No new data were collected or generated during the course of research.
Publisher Copyright:
© 2018 The Author(s). All rights reserved.
PY - 2019/3/1
Y1 - 2019/3/1
N2 - 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 in the Abelian cases of isotropic or anisotropic ℝ n , our results provide new conclusions in view of the arbitrariness of the choice of the not necessarily Euclidean quasi-norm.
AB - 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 in the Abelian cases of isotropic or anisotropic ℝ n , our results provide new conclusions in view of the arbitrariness of the choice of the not necessarily Euclidean quasi-norm.
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U2 - 10.1093/qmath/hay040
DO - 10.1093/qmath/hay040
M3 - Article
AN - SCOPUS:85063784159
SN - 0033-5606
VL - 70
SP - 305
EP - 318
JO - Quarterly Journal of Mathematics
JF - Quarterly Journal of Mathematics
IS - 1
ER -