A Strengthening of the Harnack Inequality
Marek Svetlik
TL;DR
This paper establishes a stronger form of Harnack's inequality for positive harmonic functions within the unit disc, enhancing the understanding of their behavior.
Contribution
It introduces a novel, strengthened version of Harnack's inequality specifically for harmonic functions on the unit disc.
Findings
Proves a more robust inequality for harmonic functions
Improves bounds on harmonic function behavior
Enhances theoretical understanding of harmonic functions
Abstract
We prove the stronger version of Harnack's inequality for positive harmonic functions defined on the unit disc.
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Taxonomy
TopicsLimits and Structures in Graph Theory