Weighted L^{p}-Hardy and L^{p}-Rellich inequalities with boundary terms on stratified Lie groups
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Date
2018-06-29
Authors
Ruzhansky, Michael
Sabitbek, Bolys
Suragan, Durvudkhan
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Publisher
Springer
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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Citation
Ruzhansky, M., Sabitbek, B. & Suragan, D. Weighted Lp-Hardy and Lp-Rellich inequalities with boundary terms on stratified Lie groups. Rev Mat Complut 32, 19–35 (2019). https://doi.org/10.1007/s13163-018-0268-3