Artículo
Uncertainty principle estimates for vector fields
Autor/es | Pérez Moreno, Carlos
Wheeden, Richard L. |
Departamento | Universidad de Sevilla. Departamento de Análisis Matemático |
Fecha de publicación | 2001-04-01 |
Fecha de depósito | 2016-10-10 |
Publicado en |
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Resumen | We derive weighted norm estimates for integral operators of potential type and for their related maximal operators. These operators are generalizations of the classical fractional integrals and fractional maximal functions. ... We derive weighted norm estimates for integral operators of potential type and for their related maximal operators. These operators are generalizations of the classical fractional integrals and fractional maximal functions. The norm estimates are derived in the context of a space of homogeneous type. The conditions required of the weight functions involve generalizations of the Fefferman-Phong "r-bump" condition. The results improve some earlier ones of the same kind, and they also extend to homogeneous spaces some estimates that were previously known to hold only in the classical Euclidean setting. |
Agencias financiadoras | Dirección General de Investigación Científica y Técnica (DGICYT). España National Science Foundation (NSF). United States |
Identificador del proyecto | PB940192
DMS 95-00799 |
Cita | Pérez Moreno, C. y Wheeden, R.L. (2001). Uncertainty principle estimates for vector fields. Journal of Functional Analysis, 181 (1), 146-188. |
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