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math.CA2015★ 2 cited
Riesz transform for without Gaussian heat kernel bound
Li Chen, Thierry Coulhon, Joseph Feneuil +1
We study the boundedness of Riesz transform as well as the reverse inequality on Riemannian manifolds and graphs under the volume doubling property and a sub-Gaussian heat ke…
math.CA2014★ 6 cited
Hardy and BMO spaces on graphs, application to Riesz transform
Joseph Feneuil
Let be a graph with the doubling property for the volume of balls and a reversible random walk on . We introduce Hardy spaces of functions and -forms adapted to…