On the sharpness of a three circles theorem for discrete harmonic functions

Gabor Lippner, Dan Mangoubi*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

Abstract

In this article we find the sharp error term in an L2-three circles theorem for discrete harmonic functions on ℤ2. The proof is highly indirect due to combinatorial obstacles and cancellations phenomena. We exploit Newton interpolation methods and recursive arguments.

Original languageAmerican English
Pages (from-to)1487-1503
Number of pages17
JournalInternational Mathematics Research Notices
Volume2017
Issue number5
DOIs
StatePublished - 1 Mar 2017

Bibliographical note

Publisher Copyright:
© The Author(s) 2016. Published by Oxford University Press.

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