A Banach space of locally univalent functions.

Sufficient Inequalities for Univalent Functions

In this work, applying Lemma due to Nunokawa et. al. cite{NCKS}, we obtain some sufficient inequalities for some certain subclasses of univalent functions.

An Exotic Minimal Banach Space of Functions

This note describes a new Banach space B0 of square integrable functions on R having many interesting invariance properties. In fact, the Fourier transform, time-frequency shifts, and L-normalized dilations act isometrically on it. For its definition, we make use of a general construction principle for minimal invariant spaces. We demonstrate a variety of properties following immediately from t...

A certain convolution approach for subclasses of univalent harmonic functions

In the present paper we study convolution properties for subclasses of univalent harmonic functions in the open unit disc and obtain some basic properties such as coefficient characterization and extreme points.  

Classical Families of Univalent Functions in the Hornich Space

In this paper the simple structure between some convex sets in the Banach space H introduced by Hornich is used to determine the extreme points of the families K(a) of convex functions of order ~ and V(k) of functions with bounded boundary rotation k ~. For close-to-convex functions of order {1,/3 ~ ]0, 1[, a partial result is given. The results for K(~) and V(k) agree with those that hold for ...

Univalent Functions with Univalent Derivatives. Ii