Representations for the Bloch type semi-norm of Frechet differentiable mappings

Differential-free characterisation of smooth mappings with controlled growth

In this paper we give some generalizations and improvements of the Pavlović result on the Holland-Walsh type characterization of the Bloch space of continuously differentiable (smooth) functions in the unit ball in $\mathbf{R}^m$.

A criterion for normality of analytic mappings

In this paper we give a generalization and improvement of the Pavlović result on the characterization of continuously differentiable functions in the Bloch space on the unit ball in $\mathbb{R}^m$. Then we derive a Holland--Walsh type theorem for analytic normal mappings on the unit disk.

关于一类具有整 Laplace 变换的函数空间及其与 Ingham–Karamata 定理最优性的联系

On a space of functions with entire Laplace transforms and its connection with the optimality of the Ingham-Karamata theorem

本文研究一类 Laplace 变换可整延拓的连续可微函数所构成的 Fréchet 空间的逼近性质，并利用其与开映射定理证明 Ingham–Karamata Tauberian 定理的最优性。

On some properties of solutions of the $p$-harmonic equation

A $2p$-times continuously differentiable complex-valued function $f=u+iv$ in a simply connected domain $Ω\subseteq\mathbb{C}$ is \textit{p-harmonic} if $f$ satisfies the $p$-harmonic equation $Δ^pf=0.$ In this paper, we investigate the properties of $p$-harmonic mappings in the unit disk $|z|<1$. First, we discuss the convexity, the starlikeness and the region of variability of some classes of $p$-harmonic mappings. Then we prove the existence of Landau constant for the class of functions of the form $Df=zf_{z}-\barzf_{\barz}$, where $f$ is $p$-harmonic in $|z|<1$. Also, we discuss the region …