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

Gabor Lippner; Dan Mangoubi

doi:10.1093/imrn/rnw069

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

Gabor Lippner, Dan Mangoubi^*

^*Corresponding author for this work

Einstein Institute of Mathematics

Research output: Contribution to journal › Article › peer-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 language	English
Pages (from-to)	1487-1503
Number of pages	17
Journal	International Mathematics Research Notices
Volume	2017
Issue number	5
DOIs	https://doi.org/10.1093/imrn/rnw069
State	Published - 1 Mar 2017

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

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

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