Quasiconformal maps with thin dilatations

We give an estimate that quantifies the fact that a normalized quasiconformal map whose dilatation is non-zero only on a set of small area approximates the identity uniformly on the whole plane. The precise statement is motivated by applications of the author's quasiconformal folding method for...

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Detalhes bibliográficos
Autor: Bishop, Christopher J.
Formato: artículo
Fecha de publicación:2022
País:España
Recursos:Universitat Autònoma de Barcelona
Repositorio:Dipòsit Digital de Documents de la UAB
Idioma:inglés
OAI Identifier:oai:ddd.uab.cat:264562
Acesso em linha:https://ddd.uab.cat/record/264562
https://dx.doi.org/urn:doi:10.5565/PUBLMAT6622207
Access Level:acceso abierto
Palavra-chave:Quasiconformal maps
Conformal modulus
Quasiconformal folding
Pompeiu's formula
Holomorphic dynamics
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spelling Quasiconformal maps with thin dilatationsBishop, Christopher J.Quasiconformal mapsConformal modulusQuasiconformal foldingPompeiu's formulaHolomorphic dynamicsWe give an estimate that quantifies the fact that a normalized quasiconformal map whose dilatation is non-zero only on a set of small area approximates the identity uniformly on the whole plane. The precise statement is motivated by applications of the author's quasiconformal folding method for constructing entire functions; in particular an application to constructing transcendental wandering domains given by Fagella, Godillon, and Jarque. 22022-01-0120222022-01-01Articlehttp://purl.org/coar/resource_type/c_6501VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfhttps://ddd.uab.cat/record/264562https://dx.doi.org/urn:doi:10.5565/PUBLMAT6622207reponame:Dipòsit Digital de Documents de la UABinstname:Universitat Autònoma de BarcelonaInglésengopen accesshttp://purl.org/coar/access_right/c_abf2Aquest material està protegit per drets d'autor i/o drets afins. Podeu utilitzar aquest material en funció del que permet la legislació de drets d'autor i drets afins d'aplicació al vostre cas. Per a d'altres usos heu d'obtenir permís del(s) titular(s) de drets.https://rightsstatements.org/vocab/InC/1.0/info:eu-repo/semantics/openAccessoai:ddd.uab.cat:2645622026-06-06T12:50:31Z
dc.title.none.fl_str_mv Quasiconformal maps with thin dilatations
title Quasiconformal maps with thin dilatations
spellingShingle Quasiconformal maps with thin dilatations
Bishop, Christopher J.
Quasiconformal maps
Conformal modulus
Quasiconformal folding
Pompeiu's formula
Holomorphic dynamics
title_short Quasiconformal maps with thin dilatations
title_full Quasiconformal maps with thin dilatations
title_fullStr Quasiconformal maps with thin dilatations
title_full_unstemmed Quasiconformal maps with thin dilatations
title_sort Quasiconformal maps with thin dilatations
dc.creator.none.fl_str_mv Bishop, Christopher J.
author Bishop, Christopher J.
author_facet Bishop, Christopher J.
author_role author
dc.subject.none.fl_str_mv Quasiconformal maps
Conformal modulus
Quasiconformal folding
Pompeiu's formula
Holomorphic dynamics
topic Quasiconformal maps
Conformal modulus
Quasiconformal folding
Pompeiu's formula
Holomorphic dynamics
description We give an estimate that quantifies the fact that a normalized quasiconformal map whose dilatation is non-zero only on a set of small area approximates the identity uniformly on the whole plane. The precise statement is motivated by applications of the author's quasiconformal folding method for constructing entire functions; in particular an application to constructing transcendental wandering domains given by Fagella, Godillon, and Jarque.
publishDate 2022
dc.date.none.fl_str_mv 2
2022-01-01
2022
2022-01-01
dc.type.none.fl_str_mv Article
http://purl.org/coar/resource_type/c_6501
VoR
http://purl.org/coar/version/c_970fb48d4fbd8a85
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
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https://dx.doi.org/urn:doi:10.5565/PUBLMAT6622207
url https://ddd.uab.cat/record/264562
https://dx.doi.org/urn:doi:10.5565/PUBLMAT6622207
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
https://rightsstatements.org/vocab/InC/1.0/
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
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https://rightsstatements.org/vocab/InC/1.0/
eu_rights_str_mv openAccess
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dc.source.none.fl_str_mv reponame:Dipòsit Digital de Documents de la UAB
instname:Universitat Autònoma de Barcelona
instname_str Universitat Autònoma de Barcelona
reponame_str Dipòsit Digital de Documents de la UAB
collection Dipòsit Digital de Documents de la UAB
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