Quanhua Xu

Mathematical Physics · with Junge · 2003–2015

A researcher in the Science corpus: 13 papers; trusts 23 researchers and is trusted by 25 researchers here, as inferred from the citation graph.

Subfields

• Mathematical Physics — 85 citations into it; #557 of 8,562 by trust here, #421 by citations
• Applied Mathematics — 66 citations into it; #1,477 of 7,620 by trust here, #1,009 by citations
• Algebra and Number Theory — 16 citations into it; #1,023 of 2,864 by trust here, #798 by citations
• Statistics and Probability — 16 citations into it; #2,614 of 12,932 by trust here, #4,132 by citations
• Computational Theory and Mathematics — 12 citations into it

Whom Quanhua Xu trusts overall

Their strongest outbound trust, strongest first, inferred from their citations.

1. Marius Junge
2. Narcisse Randrianantoanina
3. Javier Parcet
4. Gilles Pisier
5. Magdalena Musat
6. Tao Mei
7. Mario Milman
8. Uffe Haagerup
9. D. Shlyakhtenko
10. 'Eric Ricard

Who trusts Quanhua Xu overall

1. Marius Junge
2. Narcisse Randrianantoanina
3. Tao Mei
4. Javier Parcet
5. Sjoerd Dirksen
6. Uffe Haagerup
7. Joel A. Tropp
8. Gilles Pisier
9. Qiang Zeng
10. G. Hong

Papers from Quanhua Xu's perspective

Ordered by how strongly the researchers Quanhua Xu trusts endorse each paper. Same corpus, a different order for every researcher.

1. Free Random Variables
2. Non-Commutative Martingale Transforms
3. Noncommutative Burkholder/Rosenthal inequalities
4. A Weak Type Inequality for Non‐Commutative Martingales and Applications
5. Noncommutative Burkholder/Rosenthal inequalities II: Applications
6. Sharp estimates in vector Carleson imbedding theorem and for vector paraproducts
7. Introduction to Operator Space Theory
8. On the Best Constants in Some Non‐Commutative Martingale Inequalities
9. Interpolation between non-commutative BMO and non-commutative Lp-spaces
10. Doob's inequality for non-commutative martingales

Their papers

• Noncommutative Burkholder/Rosenthal inequalities (2003) — 267 citations
• Sobolev, Besov and Triebel-Lizorkin spaces on quantum tori (2015) — 72 citations
• A noncommutative martingale convexity inequality (2014) — 46 citations
• Weighted variation inequalities for differential operators and singular integrals in higher dimensions (2013) — 89 citations
• A reduction method for noncommutative L_p-spaces and applications (2008) — 115 citations
• Riesz and Szeg\"o type factorizations for noncommutative Hardy spaces (2007) — 57 citations
• Noncommutative Burkholder/Rosenthal inequalities II: Applications (2007) — 97 citations
• $H^{\infty }$ functional calculus and square functions on noncommutative $L^p$-spaces (2006) — 64 citations
• Rosenthal Type inequalities for free chaos. (2005) — 47 citations
• On the Best Constants in Some Non‐Commutative Martingale Inequalities (2005) — 70 citations
• Noncommutative maximal ergodic theorems (2005) — 223 citations
• Khintchine type inequalities for reduced free products and applications (2005) — 83 citations
• Chapter 34 - Non-Commutative Lp-Spaces (2003) — 269 citations