Uniformly perfect measures on strictly convex planar graphs are L2-flattening
Year of publication
2026
Authors
Algom, Amir; Orponen, Tuomas
Abstract
Uniformly perfect measures are a common generalisation of Ahlfors regular measures, self-conformal measures on the line, and their push-forwards under sufficiently regular maps. We show that every uniformly perfect measure σ on a strictly convex planar C2-graph is L2-flattening. That is, for every ϵ ą 0, there exists p “ ppϵ,σq ě 1 such that }ˆσ}pLppBpRqq ≲ϵ,σ Rϵ,Rě1.
Show moreOrganizations and authors
University of Jyväskylä
Orponen Tuomas 
Publication type
Publication format
Article
Parent publication type
Journal
Article type
Original article
Audience
ScientificPeer-reviewed
Peer-ReviewedMINEDU's publication type classification code
A1 Journal article (refereed), original researchPublication channel information
Journal/Series
Publisher
Volume
Early online
Article number
103940
ISSN
Publication forum
Publication forum level
3
Open access
Open access in the publisher’s service
Yes
Open access of publication channel
Partially open publication channel
Self-archived
No
Other information
Fields of science
Mathematics
Keywords
[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Identified topic
[object Object]
Internationality of the publisher
International
Language
English
International co-publication
Yes
Co-publication with a company
No
DOI
10.1016/j.matpur.2026.103940
The publication is included in the Ministry of Education and Culture’s Publication data collection
Yes