2017/08/13 by Shaolin Chen, David Kalaj, Chen, Shaolin +1
Mathematics · #Analytic and geometric function theory #Complex Variables (math.CV) #FOS: Mathematics #Holomorphic and Operator Theory #Meromorphic and Entire Functions
paper · pdf · doi:10.48550/arxiv.1708.03924
openalex publication_date 2017/08/13 · openalex created_date 2017/08/31 · openalex updated_date 2026/07/28
For a given continuous function g:~Ω→ℂ, we establish some Schwarz type Lemmas for mappings f in Ω satisfying the \rm PDE: Δf=g, where Ω is a subset of the complex plane ℂ. Then we apply these results to obtain a Landau type theorem, which is a partial answer to the open problem in \citeCP. %The obtained results are