Facultad de
Matemática,
Astronomía y Física (FaMAF) Universidad Nacional de Córdoba Medina Allende s/n Ciudad Universitaria 5000 - Córdoba ARGENTINA Phone number: +54 (351) 433 4052 (int. 402) |
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Research interests
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Harmonic Analysis |
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Calderón-Zygmund Theory. |
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Weighted and Vector valued inequalities. |
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One-sided Operators. |
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Extrapolation Theory. |
Publications.
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Weights
for commutators of the one-sided discrete square function, the Weyl
fractional integral and other one-sided operators", M. Lorente, M.S.
Riveros
Proceedings of the Royal Society of Edinburgh A,
Vol 135, No 4, (2005), 845-862. |
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“Weighted
Estimates for Singular Integral Operators Satisfaying Hörmander’s
conditions of Young Type ", M. Lorente, M.S. Riveros, A. de la Torre
Journal of Fourier
Analysis and Aplications. Vol 11, No 5 (2005) 497-509.
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“Two weighted inequalities for commutators of one-sided singular integrals and the discrete square function", M. Lorente, M.S. Riveros , Journal of the Australian Math. Soc. Serie A, 79 (2005) 77-94. |
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“
Weighted inequalities for integral operators with some homogeneous kernels",
M.S. Riveros, M. Urciuolo, Czechoslovak Mathematical Journal 55, 2
(2005) 423 – 432. |
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“On Hörmander's conditions for singular integrals", M. Lorente, M.S. Riveros, A. de la Torre, Revista de la Unión Matemática Argentina, Vol 45, 1, (2004) 7-14. |
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“One-sided weighted inequalities for commutators of singular integrals operators," M. Lorente, M.S. Riveros, Comment. Math. Univ. Carolinae 43, 1 (2002) 83-101. |
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"On the best ranges for $A_{p}^+$ and $RH_{r}^+$'', M. S. Riveros, A de la Torre, Czechoslovak Mathematical Journal, 51(126)(2001) 285-301. |
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“Norm inequalities relating one-sided singular integrals and one-sided maximal function'', M.S. Riveros, A. de la Torre, Journal of the Australian Math. Soc. Serie A 69, (2000) 1-12. |
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“Sufficient conditions for one-sided operators'', M.S. Riveros, L. de Rosa A. de la Torre, Journal of Fourier Analysis and Aplications Vol 6, issue 6, (2000) 607-621. |
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“One-sided extrapolation at infinity and singular integrals'', R. Macías, M.S. Riveros, Proceedings of the Royal Society of Edinburgh 130A, , (2000) 1081-1102. |
Works in preparation
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“Two extrapolation theorems for related weights and aplications" M. Lorente, M.S. Riveros (submited for publication). |
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“Generalized
Hörmander conditions, commutators and weights”, M. Lorente, J.M. Martell, M.S. Riveros, A. de la Torre (submited
for publication). |
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“Generalized Hörmander's conditions and weighted endpoint estimate” M. Lorente, J.M. Martell, C. Pérez, M.S. Riveros, (in progress). |
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Centro de
Investigación
y Estudios en Matemática (CIEM) - CONICET. |
Last modification: September 19, 2005.