217 citations
- Hunan Normal UniversityCN30 papers
- Nanjing UniversityCN18 papers
- Hunan UniversityCN17 papers
- Lanzhou UniversityCN17 papers
- Central South UniversityCN16 papers
- Hebei UniversityCN16 papers
- Henan University of Science and TechnologyCN16 papers
- University of Science and Technology of ChinaCN16 papers
- Beihang UniversityCN15 papers
- Budker Institute of Nuclear PhysicsRU15 papers
- Carnegie Mellon UniversityUS15 papers
- Central China Normal UniversityCN15 papers
17 papers · 1 filter
Circle embeddings with restrictions on Fourier coefficients
Liulan Li, Leonid V. Kovalev
This paper continues the investigation of the relation between the geometry of a circle embedding and the values of its Fourier coefficients. First, we answer a question of Kovalev…
On asymptotically sharp bi-Lipschitz inequalities of quasiconformal mappings satisfying inhomogeneous polyharmonic equations
Shaolin Chen, David Kalaj
Suppose that is a -quasiconformal (-quasiconformal resp.) self-mapping of the unit disk , which satisfies the following: the inhomogeneous polyharm…
Lengths, area and modulus of continuity of some classes of complex-valued functions
Shaolin Chen
In this paper, we discuss the modulus of continuity of solutions to Poisson's equation, and give bounds of length and area distortion for some classes of -quasiconformal mapping…
Note on the convolution of harmonic mappings
Liulan Li, Saminathan Ponnusamy
Dorff et al. \cite{DN} formulated a question concerning the convolution of two right half-plane mappings, where the normalization of the functions was considered incorrectly. In th…
The Schwarz type Lemmas and the Landau type theorem of mappings satisfying Poisson's equations
Shaolin Chen, David Kalaj
For a given continuous function , we establish some Schwarz type Lemmas for mappings in satisfying the {\rm PDE}: , where is a subset o…
Uniformly locally univalent harmonic mappings associated with the pre-Schwarzian norm
Gang Liu, Saminathan Ponnusamy
In this paper, we consider the class of uniformly locally univalent harmonic mappings in the unit disk and build a relationship between its pre-Schwarzian norm and uniformly hyperb…