Dr Runlian Xia

  • Lecturer in Pure Mathematics (Mathematics)

Research interests

My research interests lie in the interactions between operator algebras and harmonic analysis, and their connections to geometric group theory and non-commutative geometry. For more information, please see my personal homepage.

 

Research groups

Publications

List by: Type | Date

Jump to: 2024 | 2023 | 2021 | 2019 | 2018 | 2016
Number of items: 9.

2024

Gonzalez-Perez, Adrian, Parcet, Javier and Xia, Runlian ORCID logoORCID: https://orcid.org/0000-0002-0516-3701 (2024) Noncommutative Cotlar identities for groups acting on tree-like structures. arXiv, (doi: 10.48550/arXiv.2209.05298)

Xia, Runlian ORCID logoORCID: https://orcid.org/0000-0002-0516-3701 (2024) Geometric Interpolations for Fourier Multipliers on Groups. In: APDEGS 2021, Ghent, Belgium, 1-7 Jan 2021, pp. 395-404. ISBN 9783031570049 (doi: 10.1007/978-3-031-57005-6_41)

2023

Xia, Runlian ORCID logoORCID: https://orcid.org/0000-0002-0516-3701 (2023) Geometric interpretations for Fourier multipliers on groups acting on trees. Science China Mathematics, 53(12), 1837. (doi: 10.1360/SSM-2023-0105)

Wu, Lian, Xia, Runlian ORCID logoORCID: https://orcid.org/0000-0002-0516-3701 and Zhou, Dejian (2023) Asymmetric Burkholder inequalities in noncommutative symmetric spaces. arXiv, (doi: 10.48550/arXiv.2201.05474)

2021

Junge, Marius, Mei, Tao, Parcet, Javier and Xia, Runlian ORCID logoORCID: https://orcid.org/0000-0002-0516-3701 (2021) Algebraic Calderón-Zygmund theory. Advances in Mathematics, 376, 107443. (doi: 10.1016/j.aim.2020.107443)

2019

Xia, Runlian ORCID logoORCID: https://orcid.org/0000-0002-0516-3701 and Xiong, Xiao (2019) Mapping properties of operator-valued pseudo-differential operators. Journal of Functional Analysis, 277(9), pp. 2918-2980. (doi: 10.1016/j.jfa.2019.06.015)

Xia, Runlian ORCID logoORCID: https://orcid.org/0000-0002-0516-3701 and Xiong, Xiao (2019) Operator-valued local Hardy spaces. Journal of Operator Theory, 82(2), pp. 383-443.

2018

Xia, Runlian ORCID logoORCID: https://orcid.org/0000-0002-0516-3701 and Xiong, Xiao (2018) Operator-valued Triebel–Lizorkin spaces. Integral Equations and Operator Theory, 90, 65. (doi: 10.1007/s00020-018-2491-1)

2016

Xia, Runlian ORCID logoORCID: https://orcid.org/0000-0002-0516-3701, Xiong, Xiao and Xu, Quanhua (2016) Characterizations of operator-valued Hardy spaces and applications to harmonic analysis on quantum tori. Advances in Mathematics, 291, pp. 183-227. (doi: 10.1016/j.aim.2015.12.023)

This list was generated on Sat Jun 14 23:43:23 2025 BST.
Jump to: Articles | Conference Proceedings
Number of items: 9.

Articles

Gonzalez-Perez, Adrian, Parcet, Javier and Xia, Runlian ORCID logoORCID: https://orcid.org/0000-0002-0516-3701 (2024) Noncommutative Cotlar identities for groups acting on tree-like structures. arXiv, (doi: 10.48550/arXiv.2209.05298)

Xia, Runlian ORCID logoORCID: https://orcid.org/0000-0002-0516-3701 (2023) Geometric interpretations for Fourier multipliers on groups acting on trees. Science China Mathematics, 53(12), 1837. (doi: 10.1360/SSM-2023-0105)

Wu, Lian, Xia, Runlian ORCID logoORCID: https://orcid.org/0000-0002-0516-3701 and Zhou, Dejian (2023) Asymmetric Burkholder inequalities in noncommutative symmetric spaces. arXiv, (doi: 10.48550/arXiv.2201.05474)

Junge, Marius, Mei, Tao, Parcet, Javier and Xia, Runlian ORCID logoORCID: https://orcid.org/0000-0002-0516-3701 (2021) Algebraic Calderón-Zygmund theory. Advances in Mathematics, 376, 107443. (doi: 10.1016/j.aim.2020.107443)

Xia, Runlian ORCID logoORCID: https://orcid.org/0000-0002-0516-3701 and Xiong, Xiao (2019) Mapping properties of operator-valued pseudo-differential operators. Journal of Functional Analysis, 277(9), pp. 2918-2980. (doi: 10.1016/j.jfa.2019.06.015)

Xia, Runlian ORCID logoORCID: https://orcid.org/0000-0002-0516-3701 and Xiong, Xiao (2019) Operator-valued local Hardy spaces. Journal of Operator Theory, 82(2), pp. 383-443.

Xia, Runlian ORCID logoORCID: https://orcid.org/0000-0002-0516-3701 and Xiong, Xiao (2018) Operator-valued Triebel–Lizorkin spaces. Integral Equations and Operator Theory, 90, 65. (doi: 10.1007/s00020-018-2491-1)

Xia, Runlian ORCID logoORCID: https://orcid.org/0000-0002-0516-3701, Xiong, Xiao and Xu, Quanhua (2016) Characterizations of operator-valued Hardy spaces and applications to harmonic analysis on quantum tori. Advances in Mathematics, 291, pp. 183-227. (doi: 10.1016/j.aim.2015.12.023)

Conference Proceedings

Xia, Runlian ORCID logoORCID: https://orcid.org/0000-0002-0516-3701 (2024) Geometric Interpolations for Fourier Multipliers on Groups. In: APDEGS 2021, Ghent, Belgium, 1-7 Jan 2021, pp. 395-404. ISBN 9783031570049 (doi: 10.1007/978-3-031-57005-6_41)

This list was generated on Sat Jun 14 23:43:23 2025 BST.