Littlewood-Paley inequality for a diffusion satisfying the logarithmic Sobolev inequality and for the Brownian motion on a Riemannian manifold with boundary
The author discusses Littlewood-Paley inequalities on a Riemannian manifold with boundary satisfying a logarithmic Sobolev inequality. He uses the probabilistic methods initiated by P. A. Meyer and continued by Bakry and Emery. But he meets problems in bounding \(\Gamma_2\) such that he does not have the same exponent in the \(L^p\) spaces of the inequality.
scientific article; zbMATH DE number 1874591