World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
30
Citations
4042
World Ranking
3510
National Ranking
168

Quanhua Xu 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 Quanhua Xu 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: 80 publications — 3rd percentile

3% of scientists in this discipline score the same or lower.

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

Quanhua Xu 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 Quanhua Xu 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: 30 D-Index — 5th percentile

5% of scientists in this discipline score the same or lower.

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

Overview

Quanhua Xu is affiliated with the Harbin Institute of Technology in China and works primarily in the field of mathematics. Their research contributions span several subfields, including mathematical physics, applied mathematics, geometry and topology, algebra and number theory, and numerical analysis.

Their academic work encompasses a range of advanced mathematical topics, notably:

  • Advanced Operator Algebra Research
  • Advanced Banach Space Theory
  • Advanced Harmonic Analysis Research
  • Holomorphic and Operator Theory
  • Geometric and Algebraic Topology
  • Algebraic structures and combinatorial models
  • Advanced Topics in Algebra

Xu's recent publications reflect active involvement in research concerning operator algebras, functional analysis, and harmonic analysis. Some notable papers include:

  • "Atomic decompositions for noncommutative martingales" (2023), published in the Journal of Functional Analysis
  • "A Mikhlin multiplier theory for free groups and amalgamated free products of von Neumann algebras" (2022), published in Advances in Mathematics
  • "Optimal orders of the best constants in the Littlewood-Paley inequalities" (2022), published in the Journal of Functional Analysis
  • "Holomorphic functional calculus and vector-valued Littlewood-Paley-Stein theory for semigroups" (2024), published in the Journal of the European Mathematical Society
  • "Notes on Real Interpolation of Operator Lp-Spaces" (2021), published in Acta Mathematica Scientia

Xu has frequently published in several leading venues, with multiple papers appearing in the Journal of Functional Analysis and the arXiv preprint repository. Other publication venues include:

  • Journal of Functional Analysis
  • arXiv (Cornell University)
  • Advances in Mathematics
  • Journal of the European Mathematical Society
  • Acta Mathematica Scientia

Their collaborative work involves interactions with several coauthors, notably:

  • Tao Mei
  • Éric Ricard
  • Zeqian Chen
  • Narcisse Randrianantoanina
  • Marius Junge

Best Publications

  • Chapter 34 - Non-Commutative Lp-Spaces

    Gilles Pisier;Quanhua Xu

  • Noncommutative Burkholder/Rosenthal inequalities

    Marius Junge;Quanhua Xu

  • NON-COMMUTATIVE MARTINGALE INEQUALITIES

    Gilles Pisier;Quanhua Xu

  • Noncommutative maximal ergodic theorems

    Marius Junge;Quanhua Xu

  • Analytic functions with values in lattices and symmetric spaces of measurable operators

    Quanhua Xu

  • A reduction method for noncommutative L_p-spaces and applications

    Uffe Haagerup;Marius Junge;Quanhua Xu

  • Harmonic Analysis on Quantum Tori

    Zeqian Chen;Quanhua Xu;Quanhua Xu;Zhi Yin;Zhi Yin

  • Noncommutative Burkholder/Rosenthal inequalities II: Applications

    Marius Junge;Quanhua Xu

  • Weighted variation inequalities for differential operators and singular integrals

    Tao Ma;José Luis Torrea;Quanhua Xu;Quanhua Xu

  • The strong p-variation of martingales and orthogonal series

    Gilles Pisier;Gilles Pisier;Quanhua Xu;Quanhua Xu

  • On the Best Constants in Some Non‐Commutative Martingale Inequalities

    Marius Junge;Quanhua Xu

  • Khintchine type inequalities for reduced free products and applications

    Éric Ricard;Quanhua Xu

  • H[∞]functional calculus and square functions on noncommutative L[p]-spaces

    Marius Junge;Christian Le Merdy;Quanhua Xu

  • Maximal theorems and square functions for analytic operators on Lp-spaces

    Christian Le Merdy;Quanhua Xu

  • Strong $q$-variation inequalities for analytic semigroups

    Christian Le Merdy;Quanhua Xu

  • LITTLEWOOD-PALEY THEORY FOR FUNCTIONS WITH VALUES IN UNIFORMLY CONVEX SPACES

    Quanhua Xu

  • On subspaces of non-commutative Lp-spaces

    Yves Raynaud;Quanhua Xu

  • Random series in the real interpolation spaces between the spaces v p

    Gilles Pisier;Gilles Pisier;Quanhua Xu;Quanhua Xu

  • Vector-valued Littlewood¿Paley¿Stein theory for semigroups

    Teresa Martínez;José L. Torrea;Quanhua Xu

  • On subspaces of non-commutative L_p-spaces

    Yves Raynaud;Quanhua Xu

Frequent Co-Authors

Marius Junge
Marius Junge University of Illinois at Urbana-Champaign
Gilles Pisier
Gilles Pisier Texas A&M University
José L. Torrea
José L. Torrea Autonomous University of Madrid
Runyao Duan
Runyao Duan University of Technology Sydney
Fedor Sukochev
Fedor Sukochev University of New South Wales
Uffe Haagerup
Uffe Haagerup University of Copenhagen

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