Resumen de Sub-Gaussian heat kernel estimates and quasi Riesz transforms for 1≤p≤2

Li Chen

• On a complete non-compact Riemannian manifold M, we prove that a so-called quasi Riesz transform is always Lp bounded for 1 < p ≤ 2. If M satifies the doubling volume property and the sub-Gaussian heat kernel estimate, we prove that the quasi Riesz transform is also of weak type (1; 1).