Welcome to my personal webpage!

Research interests 

Analysis on metric spaces, especially geometric function theory.

Papers:

1. Large-Scale behaviour of Sobolev functions in Ahlfors regular metric measure spaces, The Journal of Geometric Analysis, 35 (2025), no. 7, Paper No. 214, 49 pp. (with Josh Kline, Pekka Koskela)

2. Lusin approximation for functions of bounded variation, Calculus of Variations and Partial Differential Equations, 64 (2025), no. 5, Paper No. 157, 24 pp. (with Panu Lahti)

3. Existence and uniqueness of limits at infinity for bounded variation functions, The Journal of Geometric Analysis, 34 (2024), no. 11, Paper No. 344, 38 pp. (with Panu Lahti)

4. Existence and uniqueness of limits at infinity for homogeneous Sobolev functions, Journal of Functional Analysis, 285 (2023), no. 11, Paper No. 110154, 22 pp. (with Pekka Koskela)

5. On limits at infinity of weighted Sobolev functions, Journal of Functional Analysis, 283 (2022), no. 10, Paper No. 109672, 40 pp. (with Sylvester Eriksson-Bique, Pekka Koskela)
   Dedicated to Professor Olli Martio on the occasion of his 80th birthday celebration

6. Trace and density results on regular trees, Potential Analysis, 57 (2022), no. 1, 101–128. (with Pekka Koskela, Zhuang Wang)

7. Classification criteria for regular trees, Annales Fennici Mathematici, 47 (2022), no. 1, 3–21.

8. Trace operators on regular trees, Analysis and Geometry in Metric Spaces, 8 (2020), no. 1, 396–409.  (with Pekka Koskela, Zhuang Wang)
   Special Issue: Function spaces and their applications on metric measure spaces including Euclidean spaces

9. Admissibility versus Ap-conditions on regular trees, Analysis and Geometry in Metric Spaces,  8 (2020), no. 1, 92–105. (with Zhuang Wang)
   Dedicated to Professor Pekka Koskela on the occasion of his 59th birthday celebration

10. Gradient estimates for a class of semilinear parabolic equations and their applications, Vietnam Journal of Mathematics, 50 (2022), no. 1, 249–259. (with Nguyen Thac Dung)

11. Gradient estimates for some f-heat equations driven by Lichnerowicz’s equation on complete smooth metric measure spaces, manuscripta mathematica, 155 (2018), 471–501. (with Nguyen Thac Dung, Quốc-Anh Ngô)

12. The number of cusps of complete Riemannian manifolds with finite volume, Taiwanese Journal of Mathematics, 22 (2018), no. 6, 1403–1425. (with Nguyen Thac Dung, Ta Cong Son)

13. A note on uniqueness boundary of holomorphic mappings, Complex Variables and Elliptic Equations, 62 (2017), no. 4, 481–493. (with Van-Thu Ninh)

14. Gradient estimates of Li Yau type for a general heat equation on Riemannian manifolds, Archivum Mathematicum, 52 (2016), no. 4, 207–219.

15. Gradient estimates of Hamilton-Souplet-Zhang type for a general heat equation on Riemannian manifolds, Archiv der Mathematik, 105 (2015), no. 5, 479–490. (with Nguyen Thac Dung)