Beltrami equation with coefficient in Sobolev and Besov spaces

Juan Eugenio Mateu Bennassar; Victor Cruz; Joan Orobitg

doi:https://doi.org/10.4153/CJM-2013-001-7

Beltrami equation with coefficient in Sobolev and Besov spaces

Juan Eugenio Mateu Bennassar, Victor Cruz, Joan Orobitg

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

25 Citations (Scopus)

Abstract

Our goal in this work is to present some function spaces on the complex plane ℂ, X(ℂ), for which the quasiregular solutions of the Beltrami equation, ∂ f (z) = μ(z)∂ f (z), have first derivatives locally in X(ℂ), provided that the Beltrami coefficient μ belongs to X(ℂ). © Canadian Mathematical Society 2013.

Original language	English
Pages (from-to)	1217-1235
Journal	Canadian Journal of Mathematics
Volume	65
DOIs	https://doi.org/10.4153/CJM-2013-001-7
Publication status	Published - 1 Dec 2013

Keywords

Beltrami equation
Calderón- Zygmund operators
Quasiregular mappings
Sobolev spaces

Access to Document

https://doi.org/10.4153/CJM-2013-001-7

Cite this

@article{9e1d258b65114ba59f3e4e342dd4833c,

title = "Beltrami equation with coefficient in Sobolev and Besov spaces",

abstract = "Our goal in this work is to present some function spaces on the complex plane ℂ, X(ℂ), for which the quasiregular solutions of the Beltrami equation, ∂ f (z) = μ(z)∂ f (z), have first derivatives locally in X(ℂ), provided that the Beltrami coefficient μ belongs to X(ℂ). {\textcopyright} Canadian Mathematical Society 2013.",

keywords = "Beltrami equation, Calder{\'o}n- Zygmund operators, Quasiregular mappings, Sobolev spaces",

author = "{Mateu Bennassar}, {Juan Eugenio} and Victor Cruz and Joan Orobitg",

year = "2013",

month = dec,

day = "1",

doi = "https://doi.org/10.4153/CJM-2013-001-7",

language = "English",

volume = "65",

pages = "1217--1235",

journal = "Canadian Journal of Mathematics",

issn = "0008-414X",

publisher = "Canadian Mathematical Society",

}

TY - JOUR

T1 - Beltrami equation with coefficient in Sobolev and Besov spaces

AU - Mateu Bennassar, Juan Eugenio

AU - Cruz, Victor

AU - Orobitg, Joan

PY - 2013/12/1

Y1 - 2013/12/1

N2 - Our goal in this work is to present some function spaces on the complex plane ℂ, X(ℂ), for which the quasiregular solutions of the Beltrami equation, ∂ f (z) = μ(z)∂ f (z), have first derivatives locally in X(ℂ), provided that the Beltrami coefficient μ belongs to X(ℂ). © Canadian Mathematical Society 2013.

AB - Our goal in this work is to present some function spaces on the complex plane ℂ, X(ℂ), for which the quasiregular solutions of the Beltrami equation, ∂ f (z) = μ(z)∂ f (z), have first derivatives locally in X(ℂ), provided that the Beltrami coefficient μ belongs to X(ℂ). © Canadian Mathematical Society 2013.

KW - Beltrami equation

KW - Calderón- Zygmund operators

KW - Quasiregular mappings

KW - Sobolev spaces

U2 - https://doi.org/10.4153/CJM-2013-001-7

DO - https://doi.org/10.4153/CJM-2013-001-7

M3 - Article

SN - 0008-414X

VL - 65

SP - 1217

EP - 1235

JO - Canadian Journal of Mathematics

JF - Canadian Journal of Mathematics

ER -

Beltrami equation with coefficient in Sobolev and Besov spaces

Abstract

Keywords

Access to Document

Fingerprint

Cite this