Littlewood-Paley inequality for a diffusion satisfying the logarithmic Sobolev inequality and for the Brownian motion on a Riemannian manifold with boundary
type: Item
instance of: scholarly article
title: Littlewood-Paley inequality for a diffusion satisfying the logarithmic Sobolev inequality and for the Brownian motion on a Riemannian manifold with boundary
zbMATH Open document ID: 1016.58022
author: Ichiro Shigekawa
published in: Osaka Journal of Mathematics
publication date: 2003-08-21T00:00:00Z
review text: 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.
Mathematics Subject Classification ID: 58J65
zbMATH DE Number: 1874591
zbMATH Keywords: diffusion
zbMATH Keywords: Brownian motion
zbMATH Keywords: Littlewood-Paley inequalities
zbMATH Keywords: Riemannian manifold with boundary
zbMATH Keywords: logarithmic Sobolev inequality
reviewed by: Rémi Léandre
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1874591