2026 Quanhua Xu: Mathematics Researcher – H-Index, Publications & Awards

Discipline name	D-Index	World Ranking	Current World Ranking	National Ranking	Current National Ranking	Publications	Citations
Mathematics	30	3509	3129	169	165	80	4042

Discipline name

D-Index

World Ranking

Current World Ranking

National Ranking

Current National Ranking

Publications

Citations

Mathematics

3509

3129

169

165

4042

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

579
Citations
Noncommutative Burkholder/Rosenthal inequalities

Marius Junge;Quanhua Xu

363
Citations
NON-COMMUTATIVE MARTINGALE INEQUALITIES

Gilles Pisier;Quanhua Xu

306
Citations
Noncommutative maximal ergodic theorems

Marius Junge;Quanhua Xu

287
Citations
Analytic functions with values in lattices and symmetric spaces of measurable operators

Quanhua Xu

163
Citations
A reduction method for noncommutative L_p-spaces and applications

Uffe Haagerup;Marius Junge;Quanhua Xu

148
Citations
Harmonic Analysis on Quantum Tori

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

137
Citations
Noncommutative Burkholder/Rosenthal inequalities II: Applications

Marius Junge;Quanhua Xu

113
Citations
Weighted variation inequalities for differential operators and singular integrals

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

112
Citations
The strong p-variation of martingales and orthogonal series

Gilles Pisier;Gilles Pisier;Quanhua Xu;Quanhua Xu

105
Citations
On the Best Constants in Some Non‐Commutative Martingale Inequalities

Marius Junge;Quanhua Xu

99
Citations
Khintchine type inequalities for reduced free products and applications

Éric Ricard;Quanhua Xu

98
Citations
H[∞]functional calculus and square functions on noncommutative L[p]-spaces

Marius Junge;Christian Le Merdy;Quanhua Xu

98
Citations
Maximal theorems and square functions for analytic operators on Lp-spaces

Christian Le Merdy;Quanhua Xu

97
Citations
Strong $q$-variation inequalities for analytic semigroups

Christian Le Merdy;Quanhua Xu

89
Citations
LITTLEWOOD-PALEY THEORY FOR FUNCTIONS WITH VALUES IN UNIFORMLY CONVEX SPACES

Quanhua Xu

82
Citations
On subspaces of non-commutative Lp-spaces

Yves Raynaud;Quanhua Xu

81
Citations
Random series in the real interpolation spaces between the spaces v p

Gilles Pisier;Gilles Pisier;Quanhua Xu;Quanhua Xu

79
Citations
Vector-valued Littlewood¿Paley¿Stein theory for semigroups

Teresa Martínez;José L. Torrea;Quanhua Xu

75
Citations
On subspaces of non-commutative L_p-spaces

Yves Raynaud;Quanhua Xu

64
Citations

Frequent Co-Authors

Marius Junge University of Illinois at Urbana-Champaign

Gilles Pisier Texas A&M University

José L. Torrea Autonomous University of Madrid

Runyao Duan University of Technology Sydney

Fedor Sukochev University of New South Wales

Uffe Haagerup University of Copenhagen

External Links

Personal website of Quanhua Xu

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