Cheng, Tao ( 程 涛 )
| Title： | Professor |
|---|---|
| Department： | Pure Mathematics |
| Office： | Room 229, Math Building |
| Telephone： | 54342646-229 |
| Email： | tcheng@math.ecnu.edu.cn |
| Homepage： | http://math.ecnu.edu.cn/~tcheng |
| Homepage2： | https://faculty.ecnu.edu.cn/_s42/ct2/main.psp |
Research Interest
Complex analysis, Complex dynamic system
Resume
2009年9月至今 华东师范大学数学系工作
Selected Publications
Papers:
Books:
Books:
Recent Publications(From MathSciNet)
MR5017653
Pending
Cheng, Tao; Wu, Yan; Zou, Haoran Topological structure of the pre-Schwarzian derivative space of harmonic mappings.
J. Math. Anal. Appl. 559 (2026), no. 1, Paper No. 130402, 19 pp. 30C62
Publication Year 2026
Indexed 2026-03-25
MR4687752
Reviewed
Cheng, Tao; Yang, Shanshuang Quasi-invariance of modulus and quasisymmetry of weakly $(L,M)$-quasisymmetric maps in metric spaces.
Mathematika 70 (2024), no. 1, Paper No. e12233, 41 pp. (Reviewer: Anca Andrei) 30C65 (30L05)
Publication Year 2024
Indexed 2024-03-15
Review Published2025-03-05
MR4653187
Reviewed
Cheng, Tao; Jiang, Peng; Yang, Shanshuang Quasisymmetry and solidity of quasiconformal maps in metric spaces.
Studia Math. 272 (2023), no. 2, 199–219. (Reviewer: Yuehui He) 30L10 (30C65)
Publication Year 2023
Indexed 2023-12-04
Review Published2024-04-17
MR4598288
Reviewed
Cheng, Tao; Yang, Shanshuang Quasiconformality to quasisymmetry via weak $(L,M)$-quasisymmetry.
Ann. Fenn. Math. 47 (2022), no. 2, 1131–1157. 30C65
Publication Year 2022
Indexed 2023-07-10
Review Published2025-05-29
MR4192719
Reviewed
Yang, Cunji; Cheng, Tao; Yang, Shanshuang Algebraic, Hölder and quasisymmetric exponents of a homeomorphism.
(Chinese) Acta Math. Sci. Ser. A (Chinese Ed.) 40 (2020), no. 5, 1142–1150. 26A16 (30C62)
Publication Year 2020
Indexed 2022-02-28
Review Published2022-03-04
MR3941209
Reviewed
Cheng, Tao; Yang, Shanshuang Quasisymmetry of weakly quasisymmetric homeomorphisms.
Complex Var. Elliptic Equ. 64 (2019), no. 7, 1184–1199. (Reviewer: Vyron Vellis) 30C65 (30C70)
Publication Year 2019
Indexed 2019-06-13
Review Published2020-02-25
MR3771265
Reviewed
Cheng, Tao; Shi, Huiqiang; Yang, Shanshuang Harmonic measure on quasicircles and symmetric quasicircles.
J. Math. Anal. Appl. 462 (2018), no. 1, 601–612. (Reviewer: D. Drasin) 30C62 (30C35 30C85 31A15)
Publication Year 2018
Indexed 2018-05-04
Review Published2018-09-25
MR3702904
Reviewed
Cheng, Tao; Shi, Hui Qiang; Yang, Shanshuang Sewing homeomorphism and conformal invariants.
Acta Math. Sin. (Engl. Ser.) 33 (2017), no. 10, 1321–1338. (Reviewer: Daniel Meyer) 30C62 (30C85 31A15)
Publication Year 2017
Indexed 2017-11-20
Review Published2018-05-24
MR3581322
Reviewed
Cheng, Tao; Yang, Shanshuang Extremal function for capacity and estimates of QED constants in $\Bbb R^n$.
Adv. Math. 306 (2017), 929–957. (Reviewer: Matti Vuorinen) 31B15 (30C65 35J92)
Publication Year 2017
Indexed 2017-02-15
Review Published2017-04-11
MR3467711
Reviewed
Cheng, Tao; Yang, Shanshuang Dilatations and exponents of quasisymmetric homeomorphisms.
Ann. Acad. Sci. Fenn. Math. 41 (2016), no. 1, 287–304. (Reviewer: Päivi Elina Lammi) 30C62
Publication Year 2016
Indexed 2016-07-20
Review Published2016-10-12
MR3278911
Reviewed
Cheng, Tao; Yang, Shanshuang Decomposition of extremal length and a proof of Shen's conjecture on QED constant and boundary dilatation.
Math. Z. 278 (2014), no. 3-4, 1195–1211. (Reviewer: Adam Lecko) 30C62 (30C70)
Publication Year 2014
Indexed 2015-01-20
Review Published2015-09-30
MR3265362
Reviewed
Cheng, Tao; Yang, Shanshuang; Zou, Wenfei Extremal length decomposition and domain constants for finitely connected domains.
Comput. Methods Funct. Theory 14 (2014), no. 2-3, 279–294. 30C62 (30C70)
Publication Year 2014
Indexed 2014-12-08
Review Published2015-09-28
MR3029551
Reviewed
Huang, Zhi Gang; Cheng, Tao Singularities and strictly wandering domains of transcendental semigroups.
Bull. Korean Math. Soc. 50 (2013), no. 1, 343–351. (Reviewer: David Jonathon Sixsmith) 37F10 (30D05)
Publication Year 2013
Indexed 2013-06-11
Review Published2013-08-22
MR2679086
Reviewed
Cheng, Tao Decomposition of integrable holomorphic quadratic differential on Riemann surface of infinite type.
Sci. China Math. 53 (2010), no. 8, 2039–2044. (Reviewer: Masakazu Shiba) 30F30 (30F60 37F99)
Publication Year 2010
Indexed 2010-10-21
Review Published2011-09-28
MR2465524
Reviewed
Cheng, Tao; Kang, Yue Ming; Chen, Ji Xiu Inequalities on the inner radius of univalency and the norm of pre-Schwarzian derivative.
Acta Math. Sin. (Engl. Ser.) 25 (2009), no. 1, 59–64. (Reviewer: Alexander Vasilʹev) 30C55 (30C62 30F60)
Publication Year 2009
Indexed 2009-03-03
Review Published2009-06-23
MR2492163
Reviewed
Kang, Yue Ming; Cheng, Tao; Chen, Ji Xiu Quasiconformal extension and the universal Teichmuller space using pre-Schwarzian derivatives.
(Chinese) Chinese Ann. Math. Ser. A 29 (2008), no. 6, 851–858. 30F60
Publication Year 2008
Indexed 2009-05-05
Review Published2009-11-23
MR2411865
Reviewed
Kang, Yueming; Cheng, Tao; Chen, Jixiu A model of universal Teichmüller space and its application.
Bull. Aust. Math. Soc. 77 (2008), no. 1, 21–30. 30F60 (32G15)
Publication Year 2008
Indexed 2008-07-25
Review Published2009-01-06
MR2355870
Reviewed
Cheng, Tao; Chen, Ji-xiu On the inner radius of univalency by pre-Schwarzian derivative.
Sci. China Ser. A 50 (2007), no. 7, 987–996. (Reviewer: Masahiko Taniguchi) 30C55 (30C62 30F45 30F60)
Publication Year 2007
Indexed 2008-01-02
Review Published2009-01-05
MR2347811
Reviewed
Cheng, Tao; Chen, Ji Xiu Some geometric properties of the universal Teichmüller space by the derivative of logarithm.
(Chinese) Chinese Ann. Math. Ser. A 28 (2007), no. 3, 395–402. (Reviewer: Yuliang Shen) 30F60
Publication Year 2007
Indexed 2007-12-04
Review Published2008-06-27
MR2312066
Reviewed
Kang, Yueming; Chen, Zongxuan; Cheng, Tao On the growth of solutions of a class of higher order differential equation.
Ann. Differential Equations 23 (2007), no. 1, 35–44. (Reviewer: Katsuya Ishizaki) 30D35 (34M10)
Publication Year 2007
Indexed 2007-07-17
Review Published2007-12-05
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