On quasiconformal dimension distortion for subsets of the real line

P. Nissinen; I. Prause

doi:10.1007/s10476-024-00060-7

On quasiconformal dimension distortion for subsets of the real line

P. Nissinen
, I. Prause

Matematiikka

Tutkimustuotos: Lehtiartikkeli › Artikkeli › Tieteellinen › vertaisarvioitu

Abstrakti

Optimal quasiconformal dimension distortions bounds for subsetsof the complex plane have been established by Astala. We show that theseestimates can be improved when one considers subsets of the real line of arbitraryHausdorff dimension. We present some explicit numerical bounds.

Alkuperäiskieli	Englanti
Sivut	1111-1129
Sivumäärä	19
Julkaisu	Analysis Mathematica
Vuosikerta	50
Numero	4
Varhainen verkossa julkaisun päivämäärä	29 lokak. 2024
DOI - pysyväislinkit	https://doi.org/10.1007/s10476-024-00060-7 https://doi.org/10.48550/arXiv.2402.01291
Tila	Julkaistu - jouluk. 2024
OKM-julkaisutyyppi	A1 Julkaistu artikkeli, soviteltu

Rahoitus

The work was supported by the Finnish Academy project 355839.

Pääsy asiakirjaan

Muut tiedostot ja linkit

http://dx.doi.org/10.1007/s10476-024-00060-7

Viittausmuodot

@article{6b458bc3473f483f97003c9ef9eda8f6,

title = "On quasiconformal dimension distortion for subsets of the real line",

abstract = "Optimal quasiconformal dimension distortions bounds for subsetsof the complex plane have been established by Astala. We show that theseestimates can be improved when one considers subsets of the real line of arbitraryHausdorff dimension. We present some explicit numerical bounds.",

author = "P. Nissinen and I. Prause",

year = "2024",

month = dec,

doi = "10.1007/s10476-024-00060-7",

language = "English",

volume = "50",

pages = "1111--1129",

journal = "Analysis Mathematica",

issn = "0133-3852",

publisher = "Springer",

number = "4",

}

TY - JOUR

T1 - On quasiconformal dimension distortion for subsets of the real line

AU - Nissinen, P.

AU - Prause, I.

PY - 2024/12

Y1 - 2024/12

N2 - Optimal quasiconformal dimension distortions bounds for subsetsof the complex plane have been established by Astala. We show that theseestimates can be improved when one considers subsets of the real line of arbitraryHausdorff dimension. We present some explicit numerical bounds.

AB - Optimal quasiconformal dimension distortions bounds for subsetsof the complex plane have been established by Astala. We show that theseestimates can be improved when one considers subsets of the real line of arbitraryHausdorff dimension. We present some explicit numerical bounds.

UR - http://dx.doi.org/10.1007/s10476-024-00060-7

U2 - 10.1007/s10476-024-00060-7

DO - 10.1007/s10476-024-00060-7

M3 - Article

SN - 0133-3852

VL - 50

SP - 1111

EP - 1129

JO - Analysis Mathematica

JF - Analysis Mathematica

IS - 4

ER -

On quasiconformal dimension distortion for subsets of the real line

Abstrakti

Rahoitus

Pääsy asiakirjaan

Muut tiedostot ja linkit

Sormenjälki

Viittausmuodot