Univalent harmonic mappings and Hardy spaces

Abstract

The main purpose of this paper is to establish a relationship between univalent harmonic mappings and Hardy spaces. The main result obtained in this paper improves previously published results. Moreover, we generalize some nice results in the analytic case to the harmonic case.

A Subclass of Harmonic Univalent Functions Defined by Salagean Integro Differential Operator

“…Thenceforward, there have been various associated articles on ℋ and its subclasses. For more details see ( [1], [3], [4], [6], [7], [8], [10], [11], [13], [14] and [15] etc.). Furthermore, notice that ℋ reduces to the class , if the co−analytic part of is identically zero.…”