Weighted Bergman spaces and the integral means spectrum of conformal mappings

Details Weighted Bergman spaces and the integral means spectrum of conformal mappings Weighted Bergman spaces and the integral means spectrum of conformal mappings

2004-06-17

arxiv.org/abs/math/0406345v1

Duke Math. J. 127 (2005), 341--393

Mathematics

Complex Variables

41 pages

Scientific paper

We study the so-called integral means spectrum for univalent functions on the
unit disk. Using an inequality of Prawitz (generalizing the classical area
theorem of Gronwall), we find -- by applying a Moebius mapping to lift the
result to the bidisk -- that it is possible to obtain rather strong estimates
from above on the integral means spectrum.

Affiliated with

Also associated with

No associations

Rating

Weighted Bergman spaces and the integral means spectrum of conformal mappings 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 Weighted Bergman spaces and the integral means spectrum of conformal mappings, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Weighted Bergman spaces and the integral means spectrum of conformal mappings will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-178337