Harmonic functions on the lattice: Absolute monotonicity and propagation of smallness

Gabor Lippner; Dan Mangoubi

doi:10.1215/00127094-3164790

Harmonic functions on the lattice: Absolute monotonicity and propagation of smallness

Gabor Lippner, Dan Mangoubi

Einstein Institute of Mathematics

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

8 Scopus citations

Abstract

In this work we establish a connection between two classical notions, unrelated so far: harmonic functions on the one hand and absolutely monotonic functions on the other hand. We use this to prove convexity-type and propagation of smallness results for harmonic functions on the lattice.

Original language	American English
Pages (from-to)	2577-2595
Number of pages	19
Journal	Duke Mathematical Journal
Volume	164
Issue number	13
DOIs	https://doi.org/10.1215/00127094-3164790
State	Published - 2015

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abstract = "In this work we establish a connection between two classical notions, unrelated so far: harmonic functions on the one hand and absolutely monotonic functions on the other hand. We use this to prove convexity-type and propagation of smallness results for harmonic functions on the lattice.",

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Harmonic functions on the lattice: Absolute monotonicity and propagation of smallness

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