We consider the class of all sense‐preserving harmonic mappings of the unit disk, where h
and g are analytic with, and determine the Bohr radius if any one of the following conditions …

This revised and extended edition of a well-established monograph in function theory
contains a study on various function classes on the disc, a number of new results and new or …

In this note we mainly consider various version of Schwarz lemma and its relatives related to
harmonic and holomorphic functions including several variables. It turns out that our …

We give simple proofs of various versions of the Schwarz lemma for real valued harmonic
functions and for holomorphic (more generally harmonic quasiregular, shortly HQR) …

We use the improvement of the classical Schwarz lemmas for planar harmonic mappings
into the sharp form, in order to provide some applications to sharp boundary Schwarz type …

A simple proof of a version of Jack's lemma for domains whose boundary is simple at a
boundary point, is given. As an application we study the growth of starlike univalent …

The aim of this paper is twofold. First, we adapt the Burgeth's spherical cap method
[Manuscripta Math. 77: 283–291, 1992 by Burgeth and Proceedings of the NATO Advanced …

The main purpose of this paper is to develop some methods to investigate the Schwarz type
lemmas of holomorphic mappings and pluriharmonic mappings in Banach spaces. Initially …

In this paper, we study Schwarz lemma for solutions of the α-harmonic equation. Applying
the method given by Burgeth, we build a new form of Schwarz lemma for solutions of the α …

Some properties of a class of elliptic partial differential operators - ScienceDirect Skip to
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