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

Matematik

Forskningsoutput: Tidskriftsbidrag › Artikel › Vetenskaplig › Peer review

Sammanfattning

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.

Originalspråk	Engelska
Sidor (från-till)	1111-1129
Antal sidor	19
Tidskrift	Analysis Mathematica
Volym	50
Nummer	4
Tidigt onlinedatum	29 okt. 2024
DOI	https://doi.org/10.1007/s10476-024-00060-7 https://doi.org/10.48550/arXiv.2402.01291
Status	Publicerad - dec. 2024
MoE-publikationstyp	A1 Tidskriftsartikel-refererad

Finansiering

The work was supported by the Finnish Academy project 355839.

Åtkomst av dokument

Andra filer och länkar

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

Citera det här

@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

Sammanfattning

Finansiering

Åtkomst av dokument

Andra filer och länkar

Fingeravtryck

Citera det här