Sub-Gaussian heat kernel estimates and quasi Riesz transforms for 1≤p≤2
Chen, Li (Instituto de Ciencias Matemáticas (Madrid, Espanya))

Date:	2015
Abstract:	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).
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió publicada
Subject:	Riemannian manifold ; Heat semigroup ; Riesz transform ; Sub-gaussian heat kernel estimates
Published in:	Publicacions matemàtiques, Vol. 59 Núm. 2 (2015) , p. 313-338 (Articles) , ISSN 2014-4350

Adreça alternativa: https://raco.cat/index.php/PublicacionsMatematiques/article/view/295188
DOI: 10.5565/PUBLMAT_59215_03

31 p, 443.9 KB

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