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Schwarz inequality for squares of harmonic conjugate functions
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Roman J. Dwilewicz
Published/Copyright:
September 25, 2009
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.
Keywords: Schwarz inequality; harmonic functions
Published Online: 2009-09-25
Published in Print: 2008-12
© by Oldenbourg Wissenschaftsverlag, München, Germany
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Articles in the same Issue
- A generalization of a theorem by Křížek, Luca, and Somer on elite primes
- A uniqueness theorem for meromorphic mappings without counting multiplicities
- On the regularity of H-surfaces with free boundaries on a smooth support manifold
- Schwarz inequality for squares of harmonic conjugate functions
- Two spaces conditions for integrability of the Fourier transform
- An example concerning islands of meromorphic functions and their derivatives
- Nonexistence criteria for polyharmonic boundary-value problems
