Schwarz Inequality for Squares of Harmonic Conjugate Functions
In this note we prove that the best constant in the Schwarz inequality for the class of squares of harmonic conjugate functions in the unit disc vanishing at the center is one.
R. Dwilewicz, "Schwarz Inequality for Squares of Harmonic Conjugate Functions," Analysis, Walter de Gruyter, Jan 2008.
The definitive version is available at http://dx.doi.org/10.1524/anly.2008.0925
Mathematics and Statistics
Keywords and Phrases
Schwarz inequality; harmonic functions
Article - Journal
© 2008 Walter de Gruyter, All rights reserved.