Martin Kernels without Green-Line Contact on an Annulus

Arsove and Johnson asked whether every normalized Martin kernel on a multiply connected Green domain agrees with the Harnack envelope along a Green line issuing from the normalization point. We give a negative answer on the circular annulus exp(-pi/2)<|z|

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-10-26
DOI
https://doi.org/10.5281/zenodo.23653836
Primary Topic
Analytic and geometric function theory
Type
preprint
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
preprint

Martin Kernels without Green-Line Contact on an Annulus

Alper Ferudun
Zenodo (CERN European Organization for Nuclear Research)
Analytic and geometric function theory
preprint

Martin Kernels without Green-Line Contact on an Annulus

Alper Ferudun
preprint en

Abstract

Arsove and Johnson asked whether every normalized Martin kernel on a multiply connected Green domain agrees with the Harnack envelope along a Green line issuing from the normalization point. We give a negative answer on the circular annulus exp(-pi/2)<|z|

Zenodo (CERN European Organization for Nuclear Research)
Analytic and geometric function theory
DOIOpen Access PDFOpenAlex
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.

Laika access coming soon
Martin Kernels without Green-Line Contact on an Annulus — Alper Ferudun · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS