A biregular extension theorem from a fractal surface in R2n

Ricardo Abreu Blaya; Juan Bory Reyes; Tania Moreno García

doi:10.1515/GMJ.2011.0004

A biregular extension theorem from a fractal surface in R²ⁿ

Ricardo Abreu Blaya, Juan Bory Reyes, Tania Moreno García

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

Abstract

The aim of this paper is to prove the characterization on a bounded domain of R²ⁿ with fractal boundary and a Hölder continuous function on the boundary guaranteeing the biregular extendability of the later function throughout the domain.

Original language	English
Pages (from-to)	21-29
Number of pages	9
Journal	Georgian Mathematical Journal
Volume	18
Issue number	1
DOIs	https://doi.org/10.1515/GMJ.2011.0004
State	Published - Mar 2011
Externally published	Yes

Keywords

Biregular functions
Extension theorems
Fractals
Théodoresco transform

Access to Document

10.1515/GMJ.2011.0004

Cite this

@article{11f8fec55d20433fbd3c4fff0da99175,

title = "A biregular extension theorem from a fractal surface in R2n",

abstract = "The aim of this paper is to prove the characterization on a bounded domain of R2n with fractal boundary and a H{\"o}lder continuous function on the boundary guaranteeing the biregular extendability of the later function throughout the domain.",

keywords = "Biregular functions, Extension theorems, Fractals, Th{\'e}odoresco transform",

author = "Blaya, {Ricardo Abreu} and Reyes, {Juan Bory} and Garc{\'i}a, {Tania Moreno}",

year = "2011",

month = mar,

doi = "10.1515/GMJ.2011.0004",

language = "Ingl{\'e}s",

volume = "18",

pages = "21--29",

journal = "Georgian Mathematical Journal",

issn = "1072-947X",

number = "1",

}

TY - JOUR

T1 - A biregular extension theorem from a fractal surface in R2n

AU - Blaya, Ricardo Abreu

AU - Reyes, Juan Bory

AU - García, Tania Moreno

PY - 2011/3

Y1 - 2011/3

N2 - The aim of this paper is to prove the characterization on a bounded domain of R2n with fractal boundary and a Hölder continuous function on the boundary guaranteeing the biregular extendability of the later function throughout the domain.

AB - The aim of this paper is to prove the characterization on a bounded domain of R2n with fractal boundary and a Hölder continuous function on the boundary guaranteeing the biregular extendability of the later function throughout the domain.

KW - Biregular functions

KW - Extension theorems

KW - Fractals

KW - Théodoresco transform

UR - http://www.scopus.com/inward/record.url?scp=79960490492&partnerID=8YFLogxK

U2 - 10.1515/GMJ.2011.0004

DO - 10.1515/GMJ.2011.0004

M3 - Artículo

AN - SCOPUS:79960490492

SN - 1072-947X

VL - 18

SP - 21

EP - 29

JO - Georgian Mathematical Journal

JF - Georgian Mathematical Journal

IS - 1

ER -

A biregular extension theorem from a fractal surface in R²ⁿ

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this