What is he best known for?
The fields of study he is best known for:
- Mathematical analysis
- Real number
- Algebra
Michael T. Lacey focuses on Pure mathematics, Mathematical analysis, Algebra, Combinatorics and Conjecture.
His work on Maximal function as part of general Pure mathematics study is frequently connected to Bilinear operator, therefore bridging the gap between diverse disciplines of science and establishing a new relationship between them.
His work on Operator theory, Fourier integral operator and Fractional calculus as part of general Mathematical analysis research is often related to Variation, thus linking different fields of science.
His Algebra research is multidisciplinary, incorporating perspectives in Calculus and Carleson's theorem.
His work deals with themes such as Riesz transform, Oscillation and Integrable system, which intersect with Combinatorics.
He interconnects Reduction, Energy and Interval in the investigation of issues within Conjecture.
His most cited work include:
- The solution of the Kato square root problem for second order elliptic operators on Rn (335 citations)
- $L^p$ estimates on the bilinear Hilbert transform for $2 < p < \infty$ (303 citations)
- On Calderon s conjecture (244 citations)
What are the main themes of his work throughout his whole career to date?
Michael T. Lacey mostly deals with Combinatorics, Pure mathematics, Discrete mathematics, Mathematical analysis and Maximal function.
Michael T. Lacey works mostly in the field of Combinatorics, limiting it down to topics relating to Bounded function and, in certain cases, Operator, as a part of the same area of interest.
His research in Pure mathematics intersects with topics in Type, Product, Inequality, Algebra and Commutator.
His Discrete mathematics research incorporates themes from Ergodic theory, Fourier series, Pointwise convergence and Sequence.
Specifically, his work in Mathematical analysis is concerned with the study of Operator theory.
His Maximal function research focuses on subjects like Lipschitz continuity, which are linked to Unit circle.
He most often published in these fields:
- Combinatorics (41.70%)
- Pure mathematics (32.77%)
- Discrete mathematics (27.66%)
What were the highlights of his more recent work (between 2017-2021)?
- Combinatorics (41.70%)
- Maximal function (13.62%)
- Lambda (5.96%)
In recent papers he was focusing on the following fields of study:
His primary areas of investigation include Combinatorics, Maximal function, Lambda, Bounded function and Pure mathematics.
His Combinatorics research includes themes of Function, Operator and Maximal operator.
He combines subjects such as Lacunary function and Prime with his study of Maximal function.
His work carried out in the field of Lambda brings together such families of science as Logarithm and Radius.
His research on Bounded function frequently connects to adjacent areas such as Discrete mathematics.
His study of Monomial is a part of Pure mathematics.
Between 2017 and 2021, his most popular works were:
- Sparse bounds for spherical maximal functions (21 citations)
- Sparse bounds for the discrete cubic Hilbert transform (16 citations)
- Sparse Bounds for Bochner–Riesz Multipliers (11 citations)
In his most recent research, the most cited papers focused on:
- Mathematical analysis
- Real number
- Algebra
His primary areas of study are Combinatorics, Maximal function, Lambda, Function and Bounded function.
Michael T. Lacey is interested in Dimension, which is a branch of Combinatorics.
His Maximal function study integrates concerns from other disciplines, such as Element, Logarithmic mean, Arc and Maximal operator.
His Function research is multidisciplinary, incorporating elements of Invariant measure, Square root, Square, Interval and Lacunary function.
While the research belongs to areas of Bounded function, Michael T. Lacey spends his time largely on the problem of Sequence, intersecting his research to questions surrounding Type.
The various areas that Michael T. Lacey examines in his Type study include Discrete mathematics and Operator.
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