dc.contributor.author
Bampouras, K.
dc.contributor.author
artur, nicolau
dc.date.accessioned
2026-01-21T12:29:40Z
dc.date.available
2026-01-21T12:29:40Z
dc.date.issued
2025-12-15
dc.identifier.uri
http://hdl.handle.net/2072/489166
dc.description.abstract
We prove that an inner function has finite L(p)-entropy if and only if its accumulated Mobius distortion is in L-p, 0 < p < infinity. We also study the support of the positive singular measures such that their corresponding singular inner functions have finite L(p)-entropy.
ca
dc.description.sponsorship
The second author is supported in part by the Generalitat de Catalunya (grant 2021 SGR 00071),the Spanish Ministerio de Ciencia e Innovacion (project PID2021-123151NB-I00) and the Spanish Research Agency through the Mar & imath;a de Maeztu Program (CEX2020-001084-M).
ca
dc.format.extent
18 p.
ca
dc.relation.ispartof
Journal d'Analyse Mathématique
ca
dc.rights
Attribution 4.0 International
*
dc.rights.uri
http://creativecommons.org/licenses/by/4.0/
*
dc.source
RECERCAT (Dipòsit de la Recerca de Catalunya)
dc.subject.other
Mobius distortion
ca
dc.title
Inner functions, Möbius distortion and angular derivatives
ca
dc.type
info:eu-repo/semantics/article
ca
dc.description.version
info:eu-repo/semantics/publishedVersion
ca
dc.identifier.doi
10.1007/s11854-025-0408-x
ca
dc.rights.accessLevel
info:eu-repo/semantics/openAccess