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

Einstein Institute of Mathematics

The Hebrew University of Jerusalem

Research output: Contribution to journal › Article › peer-review

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

All Science Journal Classification (ASJC) codes

General Mathematics

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10.1093/imrn/rnw069

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title = "On the sharpness of a three circles theorem for discrete harmonic functions",

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.",

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JO - International Mathematics Research Notices

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

Abstract

All Science Journal Classification (ASJC) codes

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