Maximal function estimates and self-improvement results for Poincaré inequalities
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DOI: 10.1007/s00229-018-1016-1
Abstract: Our main result is an estimate for a sharp maximal function, which implies a Keith–Zhong type self-improvement property of Poincaré inequalities related to differentiable structures on metric measure spaces. As an application, we give structure… read more here.
Keywords: maximal function; self improvement; poincar inequalities;
On some strong Poincaré inequalities on Riemannian models and their improvements
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2020.124213
Abstract: Abstract We prove second and fourth order improved Poincare type inequalities on the hyperbolic space involving Hardy-type remainder terms. Since theirs l.h.s. only involve the radial part of the gradient or of the laplacian, they… read more here.
Keywords: strong poincar; riemannian models; inequalities riemannian; models improvements ... See more keywords
Weak Poincaré inequalities for convolution probabilities measures
Sign Up to like & getrecommendations! Published in 2019 at "Infinite Dimensional Analysis, Quantum Probability and Related Topics"
DOI: 10.1142/s021902571950019x
Abstract: In this paper, weak Poincaré inequalities are obtained for convolution probabilities with explicit rate functions by constructing suitable Lyapunov functions. Here, one of these Lyapunov functions is introduced for the first time and can be… read more here.
Keywords: poincar; inequalities convolution; weak poincar; convolution probabilities ... See more keywords