Weighted L-p-Hardy and L-p-Rellich inequalities with boundary terms on stratified Lie groups

Ruzhansky, MichaelSuragan, DurvudkhanSabitbek, Bolys2019-12-132019-12-132019-01Ruzhansky, M., Sabitbek, B. & Suragan, D. Rev Mat Complut (2019) 32: 19. https://doi.org/10.1007/s13163-018-0268-3https://doi.org/10.1007/s13163-018-0268-3http://nur.nu.edu.kz/handle/123456789/4453In 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.enAttribution-NonCommercial-ShareAlike 3.0 United StatesWeighted L-p-Hardy and L-p-Rellich inequalities with boundary terms on stratified Lie groupsArticle