Artículo
Two-weight, weak-type norm inequalities for singular integral operators
Autor/es | Cruz Uribe, David
Pérez Moreno, Carlos |
Departamento | Universidad de Sevilla. Departamento de Análisis Matemático |
Fecha de publicación | 1999 |
Fecha de depósito | 2016-11-14 |
Publicado en |
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Resumen | We give a sufficient condition for singular integral operators and, more
generally, Calder´on-Zygmund operators to satisfy the weak (p, p) inequality
u({x ∈ R n : |T f(x)| > t}) ≤ C / tp Z Rn |f|p v dx, 1 < p < ∞. Our ... We give a sufficient condition for singular integral operators and, more generally, Calder´on-Zygmund operators to satisfy the weak (p, p) inequality u({x ∈ R n : |T f(x)| > t}) ≤ C / tp Z Rn |f|p v dx, 1 < p < ∞. Our condition is an Ap-type condition in the scale of Orlicz spaces: kukL(log L) p−1+δ,Q 1 |Q| Z Q v −p 0/p dx p/p0 ≤ K < ∞, δ > 0. This conditions is stronger than the Ap condition and is sharp since it fails when δ = 0. |
Agencias financiadoras | Dirección General de Investigación Científica y Técnica (DGICYT). España |
Identificador del proyecto | PB40192 |
Cita | Cruz Uribe, D. y Pérez Moreno, C. (1999). Generalized Poincare Inequalities: sharp self-improving properties. Mathematical Research Letters, 6 (4), 417-427. |
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