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- Michael T. Lacey

Discipline name
D-index
D-index (Discipline H-index) only includes papers and citation values for an examined
discipline in contrast to General H-index which accounts for publications across all
disciplines.
Citations
Publications
World Ranking
National Ranking

Mathematics
D-index
35
Citations
5,938
194
World Ranking
1891
National Ranking
809

2013 - Fellow of the American Mathematical Society

2004 - Fellow of John Simon Guggenheim Memorial Foundation

- 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.

- 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)

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.

- Combinatorics (41.70%)
- Pure mathematics (32.77%)
- Discrete mathematics (27.66%)

- Combinatorics (41.70%)
- Maximal function (13.62%)
- Lambda (5.96%)

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.

- 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)

- 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.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

$L^p$ estimates on the bilinear Hilbert transform for $2 < p < \infty$

Michael Lacey;Christoph Thiele.

Annals of Mathematics **(1997)**

489 Citations

$L^p$ estimates on the bilinear Hilbert transform for $2 < p < \infty$

Michael Lacey;Christoph Thiele.

Annals of Mathematics **(1997)**

489 Citations

The solution of the Kato square root problem for second order elliptic operators on Rn

Pascal Auscher;Steve Hofmann;Michael Lacey;Alan McIntosh.

Annals of Mathematics **(2002)**

407 Citations

The solution of the Kato square root problem for second order elliptic operators on Rn

Pascal Auscher;Steve Hofmann;Michael Lacey;Alan McIntosh.

Annals of Mathematics **(2002)**

407 Citations

On Calderon s conjecture

Michael Lacey;Christoph Thiele.

Annals of Mathematics **(1999)**

391 Citations

On Calderon s conjecture

Michael Lacey;Christoph Thiele.

Annals of Mathematics **(1999)**

391 Citations

A note on the almost sure central limit theorem

Michael T. Lacey;Walter Philipp.

Statistics & Probability Letters **(1990)**

295 Citations

A note on the almost sure central limit theorem

Michael T. Lacey;Walter Philipp.

Statistics & Probability Letters **(1990)**

295 Citations

A characterization of product BMO by commutators

Sarah H. Ferguson;Michael T. Lacey.

Acta Mathematica **(2002)**

240 Citations

A characterization of product BMO by commutators

Sarah H. Ferguson;Michael T. Lacey.

Acta Mathematica **(2002)**

240 Citations

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