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2021 On the Fixed Point Method and Bloch’s Theorem
Jean C. Cortissoz
Michigan Math. J. Advance Publication 1-26 (2021). DOI: 10.1307/mmj/20195829

Abstract

In this paper, via the contraction mapping principle, we give a proof of a Bloch-type theorem for normalized harmonic Bochner–Takahashi K-mappings and for solutions to equations of the form Pu=0, where P is a homogeneous differential operator with an analytic fundamental solution, that is, homogeneous elliptic operators with constant coefficients.

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Jean C. Cortissoz. "On the Fixed Point Method and Bloch’s Theorem." Michigan Math. J. Advance Publication 1 - 26, 2021. https://doi.org/10.1307/mmj/20195829

Information

Received: 21 November 2019; Revised: 10 August 2020; Published: 2021
First available in Project Euclid: 7 April 2021

Digital Object Identifier: 10.1307/mmj/20195829

Subjects:
Primary: 30C65

Rights: Copyright © 2021 The University of Michigan

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