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D-Index & Metrics

Mathematics

D-Index
41
Citations
6766
World Ranking
1916
National Ranking
819

Research.com Recognitions

  • 2013 - Fellow of the American Mathematical Society
  • 2004 - Fellow of John Simon Guggenheim Memorial Foundation

Overview

Michael T. Lacey is affiliated with the Georgia Institute of Technology in the United States and specializes in mathematics. Their research spans a range of fields within mathematics, with a primary focus on applied mathematics, mathematical physics, algebra and number theory, discrete mathematics and combinatorics, and numerical analysis.

Their work covers several main topics, including advanced harmonic analysis research, mathematical analysis and transform methods, analytic number theory research, holomorphic and operator theory, advanced mathematical physics problems, limits and structures in graph theory, and spectral theory in mathematical physics.

Frequent publication venues for their research include:

  • arXiv (Cornell University)
  • Journal of Functional Analysis
  • Indiana University Mathematics Journal
  • Journal of Mathematical Analysis and Applications
  • Kidney International

Michael T. Lacey frequently collaborates with other researchers in their field. Their common coauthors are:

  • Ji Li
  • Brett D. Wick
  • Hamed Mousavi
  • Yaghoub Rahimi
  • Rui Han

Notable recent publications include:

  • "Commutators of Cauchy-Szego type integrals for domains in C^n with minimal smoothness," 2021, Indiana University Mathematics Journal
  • "Random ergodic theorems with universally representative sequences," 2021, UNC Libraries
  • "Compactness of commutator of Riesz transforms in the two weight setting," 2021, Journal of Mathematical Analysis and Applications
  • "ℓp-Improving Inequalities for Discrete Spherical Averages," 2020, Analysis Mathematica
  • "Averages Along the Primes: Improving and Sparse Bounds," 2020, Concrete Operators

Michael T. Lacey has been recognized as a Fellow by the American Mathematical Society in 2013 and as a Fellow of the John Simon Guggenheim Memorial Foundation in 2004.

Best Publications

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

    Michael Lacey;Christoph Thiele

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

    Pascal Auscher;Steve Hofmann;Michael Lacey;Alan McIntosh

  • On Calderon s conjecture

    Michael Lacey;Christoph Thiele

  • A note on the almost sure central limit theorem

    Michael T. Lacey;Walter Philipp

  • A characterization of product BMO by commutators

    Sarah H. Ferguson;Michael T. Lacey

  • An elementary proof of the A 2 bound

    Michael T. Lacey

  • A proof of boundedness of the Carleson operator

    Michael Lacey;Christoph Thiele

  • An elementary proof of the $A_2$ Bound

    Michael T. Lacey

  • On Calder'on's conjecture

    Michael Lacey;Christoph Thiele

  • Sharp A2 inequality for Haar shift operators

    Michael T. Lacey;Stefanie Petermichl;Maria Carmen Reguera

  • On the Small Ball Inequality in all dimensions

    Dmitriy Bilyk;Michael T. Lacey;Armen Vagharshakyan

  • SHARP WEIGHTED BOUNDS FOR FRACTIONAL INTEGRAL OPERATORS

    Michael T. Lacey;Kabe Moen;Carlos Pérez;Rodolfo H. Torres

  • Two Weight Inequalities for Discrete Positive Operators

    Michael T. Lacey;Eric T. Sawyer;Ignacio Uriarte-Tuero

  • The bilinear maximal functions map into L^p for 2/3 < p <= 1

    Michael T. Lacey

  • Two Weight Inequality for the Hilbert Transform: A Real Variable Characterization, II

    Michael T. Lacey;Eric T. Sawyer;Chun-Yen Shen;Ignacio Uriarte-Tuero

  • Two-weight inequality for the hilbert transform: A real variable characterization, I

    Michael T. Lacey;Eric T. Sawyer;Chun Yen Shen;Ignacio Uriarte-Tuero

  • Commutators in the two-weight setting

    Irina Holmes;Michael T. Lacey;Brett D. Wick

  • Sharp weighted bounds for the q-variation of singular integrals

    Tuomas P. Hytönen;Michael T. Lacey;Carlos Pérez

  • The Solution of the Kato Problem for Divergence Form Elliptic Operators with Gaussian Heat Kernel Bounds

    Steve Hofmann;Michael Lacey;Alan McIntosh

  • Maximal theorems for the directional Hilbert transform on the plane

    Michael T. Lacey;Xiaochun Li;Xiaochun Li

  • Non-probabilistic proof of the A_2 theorem, and sharp weighted bounds for the q-variation of singular integrals

    Tuomas P. Hytönen;Michael T. Lacey;Carlos Pérez

  • Sharp $ A_2$ Inequality for Haar Shift Operators

    Michael T. Lacey;Stefanie Petermichl;Maria Carmen Reguera

Frequent Co-Authors

Eric T. Sawyer
Eric T. Sawyer McMaster University
Tuomas Hytönen
Tuomas Hytönen Aalto University
Xiaochun Li
Xiaochun Li University of California, Los Angeles
Jill Pipher
Jill Pipher Brown University
Terence Tao
Terence Tao University of California, Los Angeles
Alan McIntosh
Alan McIntosh Australian National University
Carlos Pérez
Carlos Pérez University of the Basque Country
Steve Hofmann
Steve Hofmann University of Missouri
Rodolfo H. Torres
Rodolfo H. Torres University of California, Riverside
Walter Philipp
Walter Philipp University of Illinois at Urbana-Champaign

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