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Caffarelli-Kohn-Nirenberg and Sobolev type inequalities on stratified

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Caffarelli–Kohn–Nirenberg and Sobolev type inequalities

• (Sobolev type inequality)Letα ∈ R.Thenforanyf ∈ C∞ 0 (G\{x =0}), and all 1 <p<∞,wehave |N −αp| p f |x |α Lp(G) ≤ x ·∇ Hf |x |α Lp(G), where ∇ H is the horizontal gradient on G and |·| is the Euclidean norm on RN.IfN = αp, then the constant |N−αp| p is sharp. • (Equivalence of Hardy and Sobolev type inequalities in L2(G)) Let N ≥ 3.
https://link.springer.com/content/pdf/10.1007/s00030-017-0478-2.pdf

Caffarelli–Kohn–Nirenberg and

In this short paper, we establish a range of Caffarelli–Kohn–Nirenberg and weighted [equation]-Sobolev type inequalities on stratified Lie groups. All ...
https://link.springer.com/article/10.1007/s00030-017-0478-2

Publications of Michael Ruzhansky - …

Ruzhansky M., Suragan D., On horizontal Hardy, Rellich, Caffarelli-Kohn-Nirenberg and p-sub-Laplacian inequalities on stratified groups, J. Differential Equations, 262 (2017), 1799-1821. offprint (open access), arxiv, link; Ruzhansky M., Tokmagambetov N., Nonharmonic analysis of boundary value problems without WZ condition, Math.
http://wwwf.imperial.ac.uk/~ruzh/publ.htm

Publications – Michael Ruzhansky

Publications. Ruzhansky M ... Moser and Caffarelli-Kohn-Nirenberg type inequalities on Riemannian ... and Sobolev type inequalities on stratified Lie ...
https://ruzhansky.org/publications

On horizontal Hardy, Rellich, …

The main aim of this paper is to give analogues of Hardy type inequalities on stratified groups with horizontal gradients and weights. Actually we obtain more than that, i.e., we prove general (horizontal) weighted Hardy, Rellich and Caffarelli–Kohn–Nirenberg type inequalities on stratified groups.
https://www.sciencedirect.com/science/article/pii/S002203961630362X

L arXiv:1708.02372v1 [math.FA] 8 Aug 2017

arxiv:1708.02372v1 [math.fa] 8 aug 2017 caffarelli-kohn-nirenberg and sobolev type inequalities on stratified lie groups michael ruzhansky, durvudkhan ...
https://export.arxiv.org/pdf/1708.02372

Anisotropic L2-weighted Hardy and L2 …

We establish sharp remainder terms of the L2-Caffarelli–Kohn–Nirenberg inequalities ... Sobolev Type Inequalities, ... Type Inequalities on Stratified ...
https://www.worldscientific.com/doi/abs/10.1142/S0219199717500146

Caffarelli-Kohn-Nirenberg and

Full-Text Paper (PDF): Caffarelli-Kohn-Nirenberg and Sobolev type inequalities on stratified Lie groups
https://www.researchgate.net/publication/319002603_Caffarelli-Kohn...

Durvudkhan Suragan - ResearchGate

... and contact Durvudkhan Suragan on ResearchGate, ... $-Sobolev type inequalities on stratified ... Caffarelli-Kohn-Nirenberg type inequalities ...
https://www.researchgate.net/profile/Durvudkhan_Suragan

The Caffarelli-Kohn-Nirenberg type

On the Caffarelli–Kohn–Nirenberg-type inequalities involving critical and supercritical weights Horiuchi, Toshio and Kumlin, Peter, Kyoto Journal of ...
http://projecteuclid.org/euclid.pja/1325264388