Schwarz Inequality for Squares of Harmonic Conjugate Functions

Author

Roman Dwilewicz, Missouri University of Science and TechnologyFollow

Editor(s)

Schulz, Friedmar

Abstract

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.

Recommended Citation

R. Dwilewicz, "Schwarz Inequality for Squares of Harmonic Conjugate Functions," Analysis, Walter de Gruyter, Jan 2008.

The definitive version is available at https://doi.org/10.1524/anly.2008.0925

Department(s)

Mathematics and Statistics

Keywords and Phrases

Schwarz inequality; harmonic functions

International Standard Serial Number (ISSN)

0003-2638; 0174-4747

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2008 Walter de Gruyter, All rights reserved.

Publication Date

01 Jan 2008