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

Autores: Li Chen
Localización: Publicacions matematiques, ISSN 0214-1493, Vol. 59, Nº 2, 2015, págs. 313-338
Idioma: inglés
DOI: 10.5565/PUBLMAT_59215_03
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Resumen
- 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).