Landau-Bloch constants for functions in $α$-Bloch spaces and Hardy spaces

Details Landau-Bloch constants for functions in $α$-Bloch spaces and Hardy spaces Landau-Bloch constants for functions in $α$-Bloch spaces and Hardy spaces

2011-12-03

arxiv.org/abs/1112.0684v1

Mathematics

Complex Variables

11 pages. The article is with a journal

Scientific paper

In this paper, we obtain a sharp distortion theorem for a class of functions in $\alpha$-Bloch spaces, and as an application of it, we establish the corresponding Landau's theorem. These results generalize the corresponding results of Bonk, Minda and Yanagihara, and Liu, respectively. We also prove the existence of Landau-Bloch constant for a class of functions in Hardy spaces and the obtained result is a generalization of the corresponding result of Chen and Gauthier.

Affiliated with

Also associated with

No associations

Rating

Landau-Bloch constants for functions in $α$-Bloch spaces and Hardy spaces does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Landau-Bloch constants for functions in $α$-Bloch spaces and Hardy spaces, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Landau-Bloch constants for functions in $α$-Bloch spaces and Hardy spaces will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-698538