What is he best known for?
The fields of study he is best known for:
- Mathematical analysis
- Algebra
- Pure mathematics
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.
His most cited work include:
- Endpoint Estimates for Commutators of Singular Integral Operators (332 citations)
- New maximal functions and multiple weights for the multilinear Calderón-Zygmund theory (326 citations)
- The boundedness of classical operators on variable L-p spaces (312 citations)
What are the main themes of his work throughout his whole career to date?
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.
He most often published in these fields:
- Pure mathematics (44.62%)
- Maximal function (35.38%)
- Combinatorics (31.54%)
What were the highlights of his more recent work (between 2017-2021)?
- Pure mathematics (44.62%)
- Type (16.92%)
- Combinatorics (31.54%)
In recent papers he was focusing on the following fields of study:
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.
Between 2017 and 2021, his most popular works were:
- Weighted Norm Inequalities for Rough Singular Integral Operators (27 citations)
- Regularity of maximal functions on Hardy–Sobolev spaces (15 citations)
- Proof of an extension of E. Sawyer's conjecture about weighted mixed weak-type estimates (14 citations)
In his most recent research, the most cited papers focused on:
- Mathematical analysis
- Algebra
- Geometry
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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