Weighted L-p-Hardy and L-p-Rellich inequalities with boundary terms on stratified Lie groups
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Date
2019-01
Authors
Ruzhansky, Michael
Suragan, Durvudkhan
Sabitbek, Bolys
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SPRINGER-VERLAG ITALIA SRL
Abstract
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 Heisenberg-Pauli-Weyl type uncertainty principles on stratified groups are recovered. Moreover, a weighted L2-Rellich type inequality with the boundary term is obtained.
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Ruzhansky, M., Sabitbek, B. & Suragan, D. Rev Mat Complut (2019) 32: 19. https://doi.org/10.1007/s13163-018-0268-3