Article
Sharp two-weight inequalities for singular integrals, with applications to the Hilbert transform and the Sarason conjecture
Author/s | Cruz Uribe, David
Martell Berrocal, José María Pérez Moreno, Carlos |
Department | Universidad de Sevilla. Departamento de Análisis Matemático |
Publication Date | 2007-12-20 |
Deposit Date | 2016-10-10 |
Published in |
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Abstract | We prove two-weight norm inequalities for Calderón-Zygmund singular
integrals that are sharp for the Hilbert transform and for the Riesz transforms. In addition, we give results for the dyadic square function and for ... We prove two-weight norm inequalities for Calderón-Zygmund singular integrals that are sharp for the Hilbert transform and for the Riesz transforms. In addition, we give results for the dyadic square function and for commutators of singular integrals. As an application we give new results for the Sarason conjecture on the product of unbounded Toeplitz operators on Hardy spaces. |
Funding agencies | Trinity College Ministerio de Educación y Ciencia (MEC). España |
Project ID. | MTM2004-00678
MTM2006-05622 |
Citation | Cruz Uribe, D., Martell Berrocal, J.M. y Pérez Moreno, C. (2007). Sharp two-weight inequalities for singular integrals, with applications to the Hilbert transform and the Sarason conjecture. Advances in Mathematics, 216 (2), 647-676. |
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