### LY Kim Ha, PhD

Associate Professor,
Department of Analysis
Faculty of Mathematics and Computer Science
University of Science, VNUHCM
Ho Chi Minh City, Vietnam
Tel: (+84) 9099 694 30

Email:lkha@hcmus.edu.vn

## Scientific Education

• 2010: BSc. in Mathematics and Computer Science (Honor program) University of Science, Vietnam National University-Ho Chi Minh City.
• 2014: PhD in Mathematics, University of Padua (Universita Degli Studi di Padova), Italy.
• 2020: Associate Professor, University of Science, Vietnam National University-Ho Chi Minh City

- Partial Differential Equations in Several Complex Variables.

- Operator Theory.

Projects:

04/2016-04/2018: Principal Investigator, Integral representations for solutions of Cauchy-Riemann equations in several complex variables (C2016-18-17), Vietnam National University (VNU-HCM), Vietnam.

12/2017-12/2019: Principal InvestigatorA studying of problems relating to heat transfer equations in real and complex spaces (101.02-2017.06), NAFOSTED, Vietnam.

05/2019-05/2021:  Principal Investigator, Some problems in nonlinear and non elliptic partial differential equations (B2019-18-01), Vietnam National University (VNU-HCM).

06/2019-09/2019: Principal Investigator, Problems in nonlinear and nonelliptic partial differential equations in analysis and applications, VIASM, Ha Noi.

Books:  An introduction to several complex variables, (in Vietnamese), NXB DHQG TP. HCM.

## Publication List (selected from 2013-now)

1. Ly Kim Ha, Tran Vu Khanh, Andrew Raich, L^p Estimates for the $\bar\partial$ Equations on a class of infinite type domains, International Journal of Mathematics, Vol. 25, No. 11, 2014.
2. Ly Kim Ha, Tran Vu Khanh, Boundary Regularity of the solution to the Complex Monge-Ampere equations on pseudoconvex domain of infinite type, Mathematical Research Letters, Vol. 22, No. 2, 2015
3. Ly Kim Ha, Global real analyticity of the Kohn-Laplacian on pseudoconvex CR manifolds with comparable Levi form, Complex Analysis and Operator Theory, Vol 11, Issue 6, pp 1329–1350, 2017

1. Ly Kim Ha, Tangential Cauchy-Riemann equations on pseudoconvex boundaries of finite and infinite type in C2, Results in Mathematics, Vol. 70, 105-124, 2017.
2. Ly Kim Ha, Note on a general Complex Monge-Ampere equation on weakly pseudoconvex domains of infinite type, Proceedings of the Japan Academy, Series A, Mathematical Sciences, Vol. 92, No. 10, 136-140, 2016
3. Ly Kim Ha, A note on the zeros of bounded holomorphic functions weakly pseudoconvex domains of finite and infinite type in C2, Bulletin of the Korean Mathematical Society, Vol. 54, No. 3, p. 993-1002, 2017
4. Ly Kim Ha, Zero Varieties for Nevanlinna holomorphic functions on weakly pseudoconvex domains of finite/infinite type in C^2, Annals of Global Analysis and Geometry, Vol. 51, No. 4, 2017
5. Ly Kim Ha, On the global Lipschitz continuity of the Bergman projection on a class of convex domains of infinite type in C2, Colloquium Mathematicum, Vol. 150 (2), 187-205, 2017.
6. Ly Kim Ha, C^k regularity for $\bar\partial$ equation for a class of convex domains of infinite type in C^2, to appear on , Kyoto Journal of Mathematics.
7. Ly Kim Ha, The Cauchy transform and Henkin operator in convex domains of maximal type F in C^2., Vietnam Journal of Mathematics, June 2019, Volume 47, Issue 2, pp 209–225
8. Ly Kim Ha, Approximation of holomorphic functions in Lp-norm on a class of convex domains of finite/infinite type in C^2, Bulletin of the Australian Mathematical Society, Vol. 97 (3), 2018, 446-452.
9. Ly Kim Ha, The $\Box_b$-heat equation on finite type CR-manifolds with comparable Levi form, Ukrainian Mathematical Journal, Volume 71, № 8, 2019, pp. 1082-1101 .
10. Ly Kim Ha, On Hölder Estimates with Loss of Order One for the ∂¯Equation on a Class of Convex Domains of Infinite Type in C3, Acta Mathematica Vietnamica, June 2019, Volume 44, Issue 2, pp 519–530
11. Ly Kim Ha, Le Hai Khoi, Composition operators between Hardy spaces on linearly convex domains in C2, Complex Analysis and Operator Theory, Sep 2019, Vol 13, Iss 06, pp. 2589-2603.
12. Ly Kim Ha, On Holder estimates for Cauchy transforms on convex domains in C2, Bulletin of the Korean Mathematical Society, First online.
13. Ly Kim Ha, An approximation theorem for Hardy functions on $\mathbb{C}$-linearly convex domains of infinite type in $\mathbb{C}^2$, Colloquium Mathematicum, First online.
14. Ly Kim Ha, Hölder and L p Estimates for the ∂ ¯-equation in a class of convex domains of infinite type in Cn, Monatshefte für Mathematik, 190 (2019), no. 3, 517–540
15. Ly Kim Ha, Ck-Estimates for ∂¯-Equation on Certain Convex Domains of Infinite Type in Cn, December 2019, Journal of Geometric Analysis, DOI: 10.1007/s12220-019-00332-x