World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
42
Citations
11444
World Ranking
1753
National Ranking
750

Loukas Grafakos publication distribution in Mathematics in 2026

The chart shows the distribution of publications by all Research.com ranked scientists in the field of Mathematics in 2026. The highlighted bar marks where Loukas Grafakos sits on this spectrum.

42–46 publications: 3 scientists 47–51 publications: 5 scientists 52–56 publications: 7 scientists 57–61 publications: 20 scientists 62–66 publications: 14 scientists 67–71 publications: 25 scientists 72–76 publications: 19 scientists 77–81 publications: 35 scientists 82–86 publications: 50 scientists 87–91 publications: 60 scientists 92–96 publications: 86 scientists 97–101 publications: 84 scientists 102–106 publications: 83 scientists 107–111 publications: 90 scientists 112–116 publications: 99 scientists 117–121 publications: 90 scientists 122–126 publications: 91 scientists 127–131 publications: 109 scientists 132–136 publications: 110 scientists 137–141 publications: 98 scientists 142–146 publications: 112 scientists 147–151 publications: 102 scientists 152–156 publications: 88 scientists 157–161 publications: 106 scientists 162–166 publications: 83 scientists 167–171 publications: 102 scientists 172–176 publications: 77 scientists 177–181 publications: 81 scientists 182–186 publications: 78 scientists 187–191 publications: 71 scientists 192–196 publications: 92 scientists 197–201 publications: 64 scientists 202–206 publications: 69 scientists 207–211 publications: 64 scientists 212–216 publications: 62 scientists 217–221 publications: 58 scientists 222–226 publications: 53 scientists 227–231 publications: 50 scientists 232–236 publications: 46 scientists 237–241 publications: 46 scientists 242–246 publications: 46 scientists 247–251 publications: 43 scientists 252–256 publications: 29 scientists 257–261 publications: 45 scientists 262–266 publications: 30 scientists 267–271 publications: 33 scientists 272–276 publications: 34 scientists 277–281 publications: 30 scientists 282–286 publications: 31 scientists 287–291 publications: 21 scientists 292–296 publications: 34 scientists 297–301 publications: 26 scientists 302–306 publications: 10 scientists 307–311 publications: 17 scientists 312–316 publications: 23 scientists 317–321 publications: 13 scientists 322–326 publications: 16 scientists 327–331 publications: 26 scientists 332–336 publications: 13 scientists 337–341 publications: 13 scientists 342–346 publications: 16 scientists 347–351 publications: 17 scientists 352–356 publications: 12 scientists 357–361 publications: 18 scientists 362–366 publications: 18 scientists 367–371 publications: 9 scientists 372–376 publications: 11 scientists 377–381 publications: 8 scientists 382–386 publications: 8 scientists 387–391 publications: 9 scientists 392–396 publications: 9 scientists 397–401 publications: 8 scientists 402–406 publications: 11 scientists 407–411 publications: 6 scientists 412–416 publications: 6 scientists 417–421 publications: 9 scientists 422–426 publications: 8 scientists 427–431 publications: 5 scientists 432–436 publications: 8 scientists 437–441 publications: 8 scientists 442–446 publications: 4 scientists 447–451 publications: 4 scientists 452–456 publications: 4 scientists 457–461 publications: 2 scientists 462–466 publications: 2 scientists 467–471 publications: 4 scientists 472–476 publications: 3 scientists 477–481 publications: 3 scientists 482–486 publications: 6 scientists 487–491 publications: 3 scientists 492–496 publications: 5 scientists 497–501 publications: 5 scientists 502–506 publications: 1 scientists 507–511 publications: 6 scientists 512–516 publications: 4 scientists 517–521 publications: 1 scientists 522–526 publications: 3 scientists 527–531 publications: 1 scientists 532–536 publications: 4 scientists 537+ publications: 100 scientists
42 publications 537+

This scientist: 226 publications — 71st percentile

71% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 537 publications or more.

Loukas Grafakos D-index placement in Mathematics in 2026

The chart shows the D-index (discipline H-index) distribution of Mathematics scientists ranked by Research.com in 2026. The highlighted bar marks where Loukas Grafakos sits on this spectrum.

30 D-Index: 174 scientists 31 D-Index: 151 scientists 32 D-Index: 174 scientists 33 D-Index: 117 scientists 34 D-Index: 136 scientists 35 D-Index: 127 scientists 36 D-Index: 145 scientists 37 D-Index: 153 scientists 38 D-Index: 150 scientists 39 D-Index: 150 scientists 40 D-Index: 138 scientists 41 D-Index: 136 scientists 42 D-Index: 93 scientists 43 D-Index: 108 scientists 44 D-Index: 115 scientists 45 D-Index: 112 scientists 46 D-Index: 103 scientists 47 D-Index: 75 scientists 48 D-Index: 59 scientists 49 D-Index: 67 scientists 50 D-Index: 60 scientists 51 D-Index: 57 scientists 52 D-Index: 59 scientists 53 D-Index: 62 scientists 54 D-Index: 60 scientists 55 D-Index: 50 scientists 56 D-Index: 42 scientists 57 D-Index: 54 scientists 58 D-Index: 50 scientists 59 D-Index: 42 scientists 60 D-Index: 41 scientists 61 D-Index: 35 scientists 62 D-Index: 40 scientists 63 D-Index: 21 scientists 64 D-Index: 31 scientists 65 D-Index: 27 scientists 66 D-Index: 29 scientists 67 D-Index: 19 scientists 68 D-Index: 25 scientists 69 D-Index: 17 scientists 70 D-Index: 18 scientists 71 D-Index: 12 scientists 72 D-Index: 14 scientists 73 D-Index: 13 scientists 74 D-Index: 18 scientists 75 D-Index: 9 scientists 76 D-Index: 11 scientists 77 D-Index: 10 scientists 78 D-Index: 9 scientists 79 D-Index: 16 scientists 80 D-Index: 12 scientists 81 D-Index: 10 scientists 82 D-Index: 5 scientists 83 D-Index: 5 scientists 84 D-Index: 13 scientists 85 D-Index: 6 scientists 86+ D-Index: 99 scientists
30 D-Index 86+

This scientist: 42 D-Index — 51st percentile

51% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 86 D-Index or more.

Overview

Loukas Grafakos is affiliated with the University of Missouri in the United States. Their research primarily focuses on the field of Mathematics, with a total of 124 publications. Within this broad area, they specialize in subfields including Applied Mathematics, Mathematical Physics, Numerical Analysis, Statistics and Probability, and Computer Vision and Pattern Recognition.

The main topics covered in their work reflect a strong emphasis on harmonic analysis and advanced mathematical theory. These topics include:

  • Advanced Harmonic Analysis Research
  • Mathematical Analysis and Transform Methods
  • Advanced Mathematical Physics Problems
  • Nonlinear Partial Differential Equations
  • Advanced Banach Space Theory
  • Approximation Theory and Sequence Spaces
  • Mathematical Approximation and Integration

Grafakos has authored numerous papers, with recent works including:

  • "Fractional Fourier transforms on L and applications" (2021), published in Applied and Computational Harmonic Analysis
  • "Riesz transform associated with the fractional Fourier transform and applications in image edge detection" (2023), published in Applied and Computational Harmonic Analysis
  • "The Bourgain-Brezis-Mironescu formula on ball Banach function spaces" (2023), published in Mathematische Annalen
  • "Some Remarks on the Mikhlin-Hörmander and Marcinkiewicz Multiplier Theorems: A Short Historical Account and a Recent Improvement" (2021), published in Journal of Geometric Analysis
  • "Multiplier conditions for Boundedness into Hardy spaces" (2021), published in Annales de l'institut Fourier

The venues where Grafakos often publishes reflect a range of mathematical journals and platforms, including:

  • arXiv (Cornell University)
  • Studia Mathematica
  • Applied and Computational Harmonic Analysis
  • International Mathematics Research Notices
  • Transactions of the American Mathematical Society

The scientist has frequently collaborated with several other researchers, among them:

  • Bae Jun Park
  • Petr Honzík
  • Danqing He
  • Zunwei Fu
  • Yue Wu

Grafakos has also contributed to academic literature through book publications. A notable example is the book Fundamentals of Fourier Analysis, published by Springer Nature in 2024.

Best Publications

  • Classical Fourier Analysis

    Loukas Grafakos

  • Classical and modern Fourier analysis

    Loukas Grafakos

  • Modern Fourier analysis

    Loukas Grafakos

  • Multilinear Calderón–Zygmund Theory

    Loukas Grafakos;Rodolfo H. Torres

  • The Kato-Ponce Inequality

    Loukas Grafakos;Seungly Oh

  • Maximal operator and weighted norm inequalities for multilinear singular integrals

    Loukas Grafakos;Rodolfo H. Torres

  • Best constants for two nonconvolution inequalities

    Michael Christ;Loukas Grafakos

  • Extrapolation and sharp norm estimates for classical operators on weighted Lebesgue spaces

    Oliver Dragicevic;Loukas Grafakos;María Cristina Pereyra;Stefanie Petermichl

  • Some remarks on multilinear maps and interpolation

    Loukas Grafakos;Nigel Kalton

  • L p BOUNDS FOR SINGULAR INTEGRALS AND MAXIMAL SINGULAR INTEGRALS WITH ROUGH KERNELS

    Loukas Grafakos;Atanas Stefanov

  • On multilinear fractional integrals

    Loukas Grafakos

  • Vector-valued singular integrals and maximal functions on spaces of homogeneous type

    Loukas Grafakos;Liguang Liu;Dachun Yang

  • On multilinear singular integrals of Calderón-Zygmund type

    Loukas Grafakos;Rodolfo H. Torres

  • Extrapolation of Weighted norm inequalities for multivariable operators and applications

    Loukas Grafakos;Loukas Grafakos;José María Martell;José María Martell

  • Multilinear Calderón-Zygmund operators on Hardy spaces

    Loukas Grafakos;Nigel J. Kalton

  • Uniform bounds for the bilinear Hilbert transforms, I

    Loukas Grafakos;Xiaochun Li

  • On Multilinear Fourier Multipliers of Limited Smoothness

    Loukas Grafakos;Akihiko Miyachi;Naohito Tomita

  • The Marcinkiewicz multiplier condition for bilinear operators

    Loukas Grafakos;Nigel J. Kalton

  • Maximal function characterizations of Hardy spaces on RD-spaces and their applications

    Loukas Grafakos;LiGuang Liu;DaChun Yang

  • On Fourier Transforms of Radial Functions and Distributions

    Loukas Grafakos;Gerald Teschl;Gerald Teschl

  • Multilinear Calder'on-Zygmund operators on Hardy spaces

    Loukas Grafakos;Nigel Kalton

  • Spaces of Lipschitz and Hölder functions and their applications

    Fritz Gesztesy;Gilles Godefroy;Loukas Grafakos;Igor Verbitsky

Frequent Co-Authors

Gilles Godefroy
Gilles Godefroy Institut de Mathématiques de Jussieu
Fritz Gesztesy
Fritz Gesztesy Baylor University
Nigel J. Kalton
Nigel J. Kalton University of Missouri
Rodolfo H. Torres
Rodolfo H. Torres University of California, Riverside
Dachun Yang
Dachun Yang Beijing Normal University
Andreas Seeger
Andreas Seeger University of Wisconsin–Madison
Terence Tao
Terence Tao University of California, Los Angeles
José María Martell
José María Martell Institute of Mathematical Sciences
Michael Christ
Michael Christ University of California, Berkeley
Xiaochun Li
Xiaochun Li University of California, Los Angeles

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