Weighted Lp estimates for the area integral associated with self-adjoint operators on homogeneous space

Autor:	Ruming Gong, Peizhu Xie
Rok vydání:	2012
Předmět:	Metric space Pure mathematics Operator (computer programming) Semigroup Applied Mathematics Norm (mathematics) Mathematical analysis Homogeneous space Operator norm Analysis Self-adjoint operator Heat kernel Mathematics
Zdroj:	Journal of Mathematical Analysis and Applications. 393:590-604
ISSN:	0022-247X
DOI:	10.1016/j.jmaa.2012.04.038
Popis:	Let X be a metric space with doubling measure, and L be a non-negative self-adjoint operator such that the corresponding heat kernels satisfy Gaussian bounds. This article is concerned with some weighted norm inequalities for area integrals associated with L . As an application, we obtain sharp estimates for the operator norm of the area integrals on L p ( X ) as p becomes large.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::792e11eed783278b5bcaafc511d77810 https://doi.org/10.1016/j.jmaa.2012.04.038 Zobrazit plný text záznamu Full Text from ScienceDirect