Research

1. U. Chakraborty, R. Xia and J. Zacharias. Ergodic average dominance for unimodular amenable groups. arXiv: 2512.12894.
2. X. Lu and R. Xia. Hilbert transforms on Coxeter groups and groups acting on buildings. arXiv:2508.18176.
3. S. Wang, R. Xia and G. Yao. Proper cocycles, measure equivalence and Lp-Fourier multipliers. arXiv:2506.18320.
4. A. Gonzalez, J. Parcet and R. Xia. Noncommutative Cotlar identities for groups acting on tree-like structures. arXiv:2209.05298.
5. L. Wu, R. Xia and D. Zhou. Asymmetric Burkholder inequalities in noncommutative symmetric spaces. arXiv:2201.05474.
6. R. Xia. Geometric interpretations for Fourier multipliers on groups acting on trees (in Chinese). Sci Sin Math, 2023, 53: 1837-1846.
7. M. Junge, T. Mei, J. Parcet and R. Xia. Algebraic Calderon-Zygmund theory. Adv. Math., 376 (2021), 72 pp.
8. R. Xia and X. Xiong. Mapping properties of operator-valued pseudo-differential operators. J. Funct. Anal. 277 (2019), no. 9, 2918-2980.
9. R. Xia and X. Xiong. Operator-valued Triebel-Lizorkin spaces. Integral Equations Operator Theory 90 (2018), no. 6, Art. 65, 65 pp.
10. R. Xia and X. Xiong. Operator-valued local Hardy spaces. J. Operator Theory. 82 (2019), no. 2, 383-443.
11. R. Xia, X. Xiong and Q. Xu. Characterizations of operator-valued Hardy spaces and applications to harmonic analysis on quantum tori. Adv. Math. 291 (2016), 183-227.