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Tuomas Hytönen

Tuomas Hytönen

D-Index & Metrics

Mathematics

D-Index
37
Citations
5969
World Ranking
2492
National Ranking
17

Overview

Tuomas Hytönen is affiliated with the University of Helsinki in Finland, specializing in the field of mathematics with a primary focus on applied mathematics. Their research encompasses a range of advanced mathematical topics, reflected in a substantial number of publications across several subfields and specialized areas.

Their main areas of study include:

  • Applied Mathematics
  • Mathematical Physics
  • Computational Theory and Mathematics
  • Numerical Analysis
  • Statistics and Probability

Key topics covered in their research portfolio are:

  • Advanced Harmonic Analysis Research
  • Nonlinear Partial Differential Equations
  • Advanced Mathematical Physics Problems
  • Holomorphic and Operator Theory
  • Mathematical Analysis and Transform Methods
  • Differential Equations and Boundary Problems
  • Advanced Banach Space Theory

Tuomas Hytönen has contributed to numerous scholarly works, including journal articles and books. Recent significant publications include:

  • The L-to-L boundedness of commutators with applications to the Jacobian operator, 2021, Journal de Mathématiques Pures et Appliquées
  • Sparse bounds for maximal rough singular integrals via the Fourier transform, 2021, Annales de l'institut Fourier
  • Extrapolation of compactness on weighted spaces, 2021, Revista Matemática Iberoamericana
  • Extrapolation of compactness on weighted spaces: Bilinear operators, 2021, Indagationes Mathematicae
  • The local Tb theorem with rough test functions, 2020, Advances in Mathematics

Regarding book publications, Tuomas Hytönen authored a work in 2023 published by Springer International Publishing titled Analysis in Banach Spaces.

Frequent collaborators in their research include:

  • Dachun Yang
  • Fan Bu
  • Jan van Neerven
  • Mark Veraar
  • Lutz Weis

Their research outputs have appeared in various publication venues, notably:

  • arXiv (Cornell University)
  • Journal of Geometric Analysis
  • Acta Mathematica Sinica English Series
  • Journal de Mathématiques Pures et Appliquées
  • Annales de l'institut Fourier

Tuomas Hytönen's body of work consists of 128 publications in mathematics, demonstrating a commitment to advancing knowledge in both theoretical and applied aspects of the discipline.

Best Publications

  • The sharp weighted bound for general Calderón-Zygmund operators

    Tuomas P. Hytönen

  • Analysis in Banach Spaces

    Tuomas Hytönen;Lutz Weis;Jan van Neerven;Mark Veraar

  • Sharp weighted bounds involving A

    Tuomas Hytönen;Carlos Pérez

  • SYSTEMS OF DYADIC CUBES IN A DOUBLING METRIC SPACE

    Tuomas Hytönen;Anna Kairema

  • Sharp Reverse Hölder property for A∞ weights on spaces of homogeneous type

    Tuomas Hytönen;Carlos Pérez;Ezequiel Rela

  • Analysis in Banach Spaces: Volume II: Probabilistic Methods and Operator Theory

    Tuomas Hytönen;Lutz Weis;Jan van Neerven;Mark Veraar

  • A framework for non-homogeneous analysis on metric spaces, and the RBMO space of Tolsa

    Tuomas P. Hytönen

  • Non-homogeneous Tb Theorem and Random Dyadic Cubes on Metric Measure Spaces

    Tuomas Hytönen;Henri Martikainen

  • Orthonormal bases of regular wavelets in spaces of homogeneous type

    Pascal Auscher;Tuomas Hytönen

  • The Hardy space H-1 on non-homogeneous metric spaces

    Tuomas P. Hytönen;Dachun Yang;Dongyong Yang

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

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

  • Quantitative weighted estimates for rough homogeneous singular integrals

    Tuomas P. Hytönen;Luz Roncal;Luz Roncal;Olli Tapiola

  • Analysis in Banach Spaces: Volume I: Martingales and Littlewood-Paley Theory

    Tuomas Hytönen;Jan van Neerven;Mark Veraar;Lutz Weis

  • 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

  • The L(logL)ϵ endpoint estimate for maximal singular integral operators

    Tuomas Hytönen;Carlos Pérez;Carlos Pérez

  • Littlewood-Paley-Stein theory for semigroups in UMD spaces

    Tuomas P. Hytönen

  • Boundedness of Calderon-Zygmund Operators on Non-homogeneous Metric Measure Spaces

    Tuomas Hytönen;Suile Liu;Dachun Yang;Dongyong Yang

  • The L-p-to-L-q boundedness of commutators with applications to the Jacobian operator

    Tuomas P. Hytönen

  • A T1 theorem for integral transformations with operator-valued kernel

    Tuomas Hytönen;Lutz Weis

  • Kato's square root problem in Banach spaces

    Tuomas Hytonen;Alan McIntosh;Pierre Portal

  • Sharp weighted estimates for dyadic shifts and the A2 conjecture

    Tuomas Hytönen;Carlos Pérez;Sergei Treil;Alexander Volberg

  • Semigroups of linear operators

    Tuomas Hytönen;Jan van Neerven;Mark Veraar;Lutz Weis

  • Sharp weighted bounds involving A_

    Tuomas Hytönen;Carlos Pérez

Frequent Co-Authors

Lutz Weis
Lutz Weis Karlsruhe Institute of Technology
Michael T. Lacey
Michael T. Lacey Georgia Institute of Technology
Carlos Pérez
Carlos Pérez University of the Basque Country
Assaf Naor
Assaf Naor Princeton University
Alan McIntosh
Alan McIntosh Australian National University
Eric T. Sawyer
Eric T. Sawyer McMaster University
Alexander Volberg
Alexander Volberg Michigan State University
Sergei Treil
Sergei Treil Brown University
Dachun Yang
Dachun Yang Beijing Normal University
José L. Torrea
José L. Torrea Autonomous University of Madrid

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