His primary scientific interests are in Maximal function, Pure mathematics, Mathematical analysis, Lp space and Discrete mathematics. His Maximal function research incorporates elements of Muckenhoupt weights and Multilinear map. He interconnects Banach space, Combinatorics and Maximal operator in the investigation of issues within Multilinear map.
His Pure mathematics study frequently draws parallels with other fields, such as Norm. His work in Norm addresses issues such as Schatten norm, which are connected to fields such as Singular integral operators of convolution type. Carlos Pérez has included themes like Type and Applied mathematics in his Mathematical analysis study.
Carlos Pérez mostly deals with Pure mathematics, Maximal function, Combinatorics, Norm and Mathematical analysis. His Pure mathematics research includes themes of Pointwise, Type and Maximal operator. His Maximal function study incorporates themes from Discrete mathematics, Muckenhoupt weights, Multilinear map and Constant.
His work on Conjecture as part of general Combinatorics study is frequently linked to Lambda, therefore connecting diverse disciplines of science. As a member of one scientific family, Carlos Pérez mostly works in the field of Norm, focusing on Extrapolation and, on occasion, Function space. His work on Inequality, Singular solution and Poincaré inequality as part of general Mathematical analysis research is frequently linked to Commutator, bridging the gap between disciplines.
His primary areas of investigation include Pure mathematics, Type, Combinatorics, Norm and Discrete mathematics. His work in the fields of Pure mathematics, such as Poincaré conjecture, overlaps with other areas such as Self improvement. His Type research overlaps with other disciplines such as Context and Homogeneous.
In general Combinatorics, his work in Maximal function is often linked to Exponent linking many areas of study. The Maximal function study combines topics in areas such as Nirenberg and Matthaei experiment and Polynomial. His Extrapolation research is multidisciplinary, relying on both Differential geometry and Singular integral operators.
Carlos Pérez mainly focuses on Norm, Discrete mathematics, Maximal function, Combinatorics and Weak type. His Norm research includes elements of Differential geometry, Extrapolation and Singular integral operators. His study in Maximal function is interdisciplinary in nature, drawing from both Convolution, Type, Bounded function and Sobolev space.
The various areas that Carlos Pérez examines in his Combinatorics study include Operator, Singular case, Constant and Extension. His Weak type study frequently draws connections to other fields, such as Conjecture.
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Endpoint Estimates for Commutators of Singular Integral Operators
Journal of Functional Analysis (1995)
The boundedness of classical operators on variable L-p spaces
D. Cruz-Uribe;A. Fiorenza;J.M. Martell;C. Pérez.
Annales Academiae Scientiarum Fennicae. Mathematica (2006)
New maximal functions and multiple weights for the multilinear Calderón-Zygmund theory
Andrei K. Lerner;Sheldy Ombrosi;Carlos Pérez;Rodolfo H. Torres.
Advances in Mathematics (2009)
Weights, Extrapolation and the Theory of Rubio de Francia
David V. Cruz-Uribe;José Maria Martell;Carlos Pérez.
Sharp weighted bounds involving A
Tuomas Hytönen;Carlos Pérez.
Analysis & PDE (2013)
SHARP WEIGHTED ESTIMATES FOR MULTILINEAR COMMUTATORS
C. Pérez;R. Trujillo-González.
Journal of The London Mathematical Society-second Series (2002)
On Sufficient Conditions for the Boundedness of the Hardy–Littlewood Maximal Operator between Weighted Lp-Spaces with Different Weights
Proceedings of The London Mathematical Society (1995)
Weighted Norm Inequalities for Singular Integral Operators
Journal of The London Mathematical Society-second Series (1994)
Weighted estimates for commutators of linear operators
Josefina Alvarez;Richard J. Bagby;Douglas S. Kurtz;Carlos Pérez.
Studia Mathematica (1993)
Sharp Reverse Hölder property for A∞ weights on spaces of homogeneous type
Tuomas Hytönen;Carlos Pérez;Ezequiel Rela.
Journal of Functional Analysis (2012)
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