Rotation Bounds for Hölder Continuous Homeomorphisms with Integrable Distortion

A. Clop; L. Hitruhin; B. Sengupta

doi:10.1007/s12220-022-00950-y

Rotation Bounds for Hölder Continuous Homeomorphisms with Integrable Distortion

A. Clop^*, L. Hitruhin, B. Sengupta

^*Tämän työn vastaava kirjoittaja

Matematiikan ja systeemianalyysin laitos

Tutkimustuotos: Lehtiartikkeli › Article › Scientific › vertaisarvioitu

56 Lataukset (Pure)

Abstrakti

We obtain sharp rotation bounds for the subclass of homeomorphisms f: C→ C of finite distortion which have distortion function in Llocp, p> 1 , and for which a Hölder continuous inverse is available. The interest in this class is partially motivated by examples arising from fluid mechanics. Our rotation bounds hereby presented improve the existing ones, for which the Hölder continuity is not assumed. We also present examples proving sharpness.

Alkuperäiskieli	Englanti
Artikkeli	212
Sivut	1-21
Sivumäärä	21
Julkaisu	JOURNAL OF GEOMETRIC ANALYSIS
Vuosikerta	32
Numero	8
DOI - pysyväislinkit	https://doi.org/10.1007/s12220-022-00950-y
Tila	Julkaistu - elok. 2022
OKM-julkaisutyyppi	A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä

Pääsy asiakirjaan

10.1007/s12220-022-00950-y

Rotation Bounds for Hölder Continuous Homeomorphisms with Integrable DistortionFinal published version, 283 KBLisenssi: CC BY

Muut tiedostot ja linkit

Linkki julkaisuun Scopuksessa

QUAMAP: Quasiconformal Methods in Analysis and Applications
Astala, K. (Vastuullinen tutkija), Prats Soler, M. (Projektin jäsen) & Lindberg, S. (Projektin jäsen)
27/08/2019 → 30/04/2021
Projekti: EU: ERC grants
Geometrinen analyysi ja konformigeometria
Astala, K. (Vastuullinen tutkija), Mudarra Díaz-Malaguilla, C. (Projektin jäsen), Hitruhin, L. (Projektin jäsen), Prause, I. (Projektin jäsen), Brustad, K. (Projektin jäsen), Vavilov, A. (Projektin jäsen) & Evdoridis, S. (Projektin jäsen)
01/09/2018 → 30/04/2021
Projekti: Academy of Finland: Other research funding

Siteeraa tätä

@article{197b2e460ac64e06b17df6ba7e6c90eb,

title = "Rotation Bounds for H{\"o}lder Continuous Homeomorphisms with Integrable Distortion",

abstract = "We obtain sharp rotation bounds for the subclass of homeomorphisms f: C→ C of finite distortion which have distortion function in Llocp, p> 1 , and for which a H{\"o}lder continuous inverse is available. The interest in this class is partially motivated by examples arising from fluid mechanics. Our rotation bounds hereby presented improve the existing ones, for which the H{\"o}lder continuity is not assumed. We also present examples proving sharpness.",

keywords = "Mappings of finite distortion, Quasiconformal maps, Rotation bounds",

author = "A. Clop and L. Hitruhin and B. Sengupta",

note = "| openaire: EC/H2020/834728/EU//QUAMAP Funding Information A.C. and B.S. are partially supported by projects MTM2016-81703-ERC, MTM2016-75390 (Spanish Government) and 2017SGR395 (Catalan Government). L.H. was partially supported by ICMAT Severo Ochoa project SEV-2015-0554 grant MTM2017-85934-C3-2-P, the ERC grant 307179-GFTIPFD, the ERC grant 834728 Quamap, by the Finnish Academy of Science project 13316965 and by a grant from The Emil Aaltonen Foundation. Publisher Copyright: {\textcopyright} 2022, The Author(s).",

year = "2022",

month = aug,

doi = "10.1007/s12220-022-00950-y",

language = "English",

volume = "32",

pages = "1--21",

journal = "JOURNAL OF GEOMETRIC ANALYSIS",

issn = "1050-6926",

publisher = "Springer",

number = "8",

}

TY - JOUR

T1 - Rotation Bounds for Hölder Continuous Homeomorphisms with Integrable Distortion

AU - Clop, A.

AU - Hitruhin, L.

AU - Sengupta, B.

N1 - | openaire: EC/H2020/834728/EU//QUAMAP Funding Information A.C. and B.S. are partially supported by projects MTM2016-81703-ERC, MTM2016-75390 (Spanish Government) and 2017SGR395 (Catalan Government). L.H. was partially supported by ICMAT Severo Ochoa project SEV-2015-0554 grant MTM2017-85934-C3-2-P, the ERC grant 307179-GFTIPFD, the ERC grant 834728 Quamap, by the Finnish Academy of Science project 13316965 and by a grant from The Emil Aaltonen Foundation. Publisher Copyright: © 2022, The Author(s).

PY - 2022/8

Y1 - 2022/8

N2 - We obtain sharp rotation bounds for the subclass of homeomorphisms f: C→ C of finite distortion which have distortion function in Llocp, p> 1 , and for which a Hölder continuous inverse is available. The interest in this class is partially motivated by examples arising from fluid mechanics. Our rotation bounds hereby presented improve the existing ones, for which the Hölder continuity is not assumed. We also present examples proving sharpness.

AB - We obtain sharp rotation bounds for the subclass of homeomorphisms f: C→ C of finite distortion which have distortion function in Llocp, p> 1 , and for which a Hölder continuous inverse is available. The interest in this class is partially motivated by examples arising from fluid mechanics. Our rotation bounds hereby presented improve the existing ones, for which the Hölder continuity is not assumed. We also present examples proving sharpness.

KW - Mappings of finite distortion

KW - Quasiconformal maps

KW - Rotation bounds

UR - http://www.scopus.com/inward/record.url?scp=85130697795&partnerID=8YFLogxK

U2 - 10.1007/s12220-022-00950-y

DO - 10.1007/s12220-022-00950-y

M3 - Article

AN - SCOPUS:85130697795

SN - 1050-6926

VL - 32

SP - 1

EP - 21

JO - JOURNAL OF GEOMETRIC ANALYSIS

JF - JOURNAL OF GEOMETRIC ANALYSIS

IS - 8

M1 - 212

ER -

Rotation Bounds for Hölder Continuous Homeomorphisms with Integrable Distortion

Abstrakti

Pääsy asiakirjaan

Muut tiedostot ja linkit

Sormenjälki

Projektit

QUAMAP: Quasiconformal Methods in Analysis and Applications

Geometrinen analyysi ja konformigeometria

Siteeraa tätä