Quasiregular curves: Hölder continuity and higher integrability

Jani Onninen; Pekka Pankka

doi:10.1007/s40627-021-00086-9

Quasiregular curves: Hölder continuity and higher integrability

Jani Onninen, Pekka Pankka

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

We show that a K-quasiregular ω-curve from a Euclidean domain to a Euclidean space with respect to a covector ω is locally (1/K)(‖ω‖/|ω|ℓ1)-Hölder continuous. We also show that quasiregular curves enjoy higher integrability.

Original language	English (US)
Article number	26
Journal	Complex Analysis and its Synergies
Volume	7
Issue number	3-4
DOIs	https://doi.org/10.1007/s40627-021-00086-9
State	Published - Dec 2021

Keywords

Holomorphic curves
Quasiregular curves
Quasiregular mappings

ASJC Scopus subject areas

Analysis
Mathematics (miscellaneous)
Numerical Analysis

Access to Document

10.1007/s40627-021-00086-9

Cite this

@article{4f9d46da64cc4202b3a4b979d03dfc03,

title = "Quasiregular curves: H{\"o}lder continuity and higher integrability",

abstract = "We show that a K-quasiregular ω-curve from a Euclidean domain to a Euclidean space with respect to a covector ω is locally (1/K)(‖ω‖/|ω|ℓ1)-H{\"o}lder continuous. We also show that quasiregular curves enjoy higher integrability.",

keywords = "Holomorphic curves, Quasiregular curves, Quasiregular mappings",

author = "Jani Onninen and Pekka Pankka",

note = "Publisher Copyright: {\textcopyright} 2021, The Author(s), under exclusive licence to Springer Nature Switzerland AG.",

year = "2021",

month = dec,

doi = "10.1007/s40627-021-00086-9",

language = "English (US)",

volume = "7",

journal = "Complex Analysis and its Synergies",

issn = "2524-7581",

publisher = "Springer International Publishing AG",

number = "3-4",

}

TY - JOUR

T1 - Quasiregular curves

T2 - Hölder continuity and higher integrability

AU - Onninen, Jani

AU - Pankka, Pekka

PY - 2021/12

Y1 - 2021/12

N2 - We show that a K-quasiregular ω-curve from a Euclidean domain to a Euclidean space with respect to a covector ω is locally (1/K)(‖ω‖/|ω|ℓ1)-Hölder continuous. We also show that quasiregular curves enjoy higher integrability.

AB - We show that a K-quasiregular ω-curve from a Euclidean domain to a Euclidean space with respect to a covector ω is locally (1/K)(‖ω‖/|ω|ℓ1)-Hölder continuous. We also show that quasiregular curves enjoy higher integrability.

KW - Holomorphic curves

KW - Quasiregular curves

KW - Quasiregular mappings

UR - http://www.scopus.com/inward/record.url?scp=85130425172&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85130425172&partnerID=8YFLogxK

U2 - 10.1007/s40627-021-00086-9

DO - 10.1007/s40627-021-00086-9

M3 - Article

AN - SCOPUS:85130425172

SN - 2524-7581

VL - 7

JO - Complex Analysis and its Synergies

JF - Complex Analysis and its Synergies

IS - 3-4

M1 - 26

ER -

Quasiregular curves: Hölder continuity and higher integrability

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this