Research interests

Function spaces and operators in them

Education

2011–2013 Ph.D, Southern Federal University, Rostov, Russia.

2009–2011 Master, Southern Federal University, Rostov, Russia.

2005–2009 Undergraduate, Southern Federal University, Rostov, Russia

Honors and awards

2010 1st Prize in Student Research Award Southern Federal University at Rostov, Russia

2009 1st Prize in Student Research Award Southern Federal University at Rostov, Russia

2008 2nd Prize in Student Research Award Southern Federal University at Rostov, Russia

Publications

1. Pham Trong Tien, Le Hai Khoi, Dierences of weighted composition operators between Fock spaces, Monatshefte für Mathematik, DOI: 10.1007/s00605-018- 1179-6

2. Pham Trong Tien, Le Hai Khoi, Weighted composition operators between dierent Fock spaces, Potential Analysis, DOI: 10.1007/s11118-017-9678-y

3. Abanin A. V., Pham Trong Tien, Compactness of classical operators on weighted Banach spaces of holomorphic functions, Collec. Math., 69 (2018), pp. 1-15

4. Abanin A. V., Pham Trong Tien, Classical operators in weighted Banach spaces of holomorphic functions, Complex analysis, Itogi Nauki i Tekhniki. Ser. Sovrem. Mat. Pril. Temat. Obz., 142, VINITI, M., 2017, pp. 3–13. (in Russian)

5. Abanin A. V., Pham Trong Tien, Invariant subspaces for dierentiation and integration operators on weighted spaces of holomorphic functions, Integr. Equ. and Oper. Theory 89 (2017), pp. 409 -438.

6. Abanin A. V., Pham Trong Tien, Dierentiation and integration operators on weighted Banach spaces of holomorphic functions, Math. Nachr., 290 (2017), pp. 1144–1162.

7. Pham Trong Tien, Translation operators on weighted spaces of entire functions, Proc. Amer. Math. Soc., 145(2017), pp. 805–815.

8. Abanin A. V., Pham Trong Tien, The algebraic equalities and their topological consequences in weighted spaces, J. Math. Anal. Appl., 422(2015), pp. 435–445.

9. Abanin A. V., Sergunin P. S., Pham Trong Tien, Weighted Frechet spaces of entire functions from the class of power series spaces of finite type, Vladikavkaz. Math. J, 3 (2013), pp. 3–6. (in Russian)

10. Pham Trong Tien, Composition operators in weighted Banach spaces of holomorphic functions, Izvestija vussh. Uchebn. Zaved. Severo-Kavk. Region Estestv. Nauki, 6 (2012), pp. 34–39. (in Russian)

11. Abanin A. V., Pham Trong Tien, Painleve null sets, dimension and compact embedding of weighted spaces, Studia Math., 213 (2012), pp. 169–187.

12. Pham Trong Tien, A description of the dual space for a Frechet space of infinitely dierentiable functions with weighted estimates of all derivatives in RN, Izvestija vussh. Uchebn. Zaved. Severo-Kavk. Region Estestv. Nauki, 6 (2011), pp. 19–23. (in Russian)

13. Abanin A. V., Pham Trong Tien, Continuation of holomorphic functions with growth conditions and some its applications, Studia Math., 200 (2010), pp. 279–295.

14. Abanin A. V., Pham Trong Tien, Almost subadditive weight functions form Braun – Meise – Taylor theory of ultradistributions, J. Math. Anal. Appl., 363(2010), pp. 296–301.

15. Abanin A. V., Pham Trong Tien, Stability zones for slowly changing weights used in the theory of ultradierentiable functions, Vladikavkaz. Math. J, 10 (2008), pp. 3–8. (in Russian)