Regularity estimates in weighted Orlicz spaces for Calderon-Zygmund type singular integral operators

被引：1

作者：

Yao, Fengping ^{[1
]}

机构：

[1] Shanghai Univ, Dept Math, Shanghai 200444, Peoples R China

来源：

FORUM MATHEMATICUM | 2017年 / 29卷 / 01期

关键词：

Orlicz spaces; weighted; regularity; Calderon-Zygmund; singular integral; SOBOLEV SPACES; ELLIPTIC-EQUATIONS; PARABOLIC-SYSTEMS; GRADIENT;

D O I：

10.1515/forum-2015-0086

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we obtain regularity estimates in weighted Orlicz spaces for the Calderon-Zygmund singular integral operators under certain optimal conditions.

引用

页码：187 / 199

页数：13

共 26 条

[1] Gradient estimates for a class of parabolic systems [J].

Acerbi, Emilio ;

Mingione, Giuseppe .

DUKE MATHEMATICAL JOURNAL, 2007, 136 (02) :285-320

[2]

[Anonymous], 1986, PURE APPL MATH

[3]

[Anonymous], 2003, SOBOLEV SPACES

[4]

[Anonymous], 1991, Weighted Inequalities in Lorentz and Orlicz Spaces

[5] An existence theorem for a strongly nonlinear elliptic problem in Orlicz spaces [J].

Benkirane, A ;

Elmahi, A .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1999, 36 (01) :11-24

[6] The regularity of general parabolic systems with degenerate diffusion [J].

Boegelein, Verena ;

Duzaar, Frank ;

Mingione, Giuseppe .

MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY, 2013, 221 (1041) :1-143

[7]

Bögelein V, 2011, PUBL MAT, V55, P201

[8] Parabolic systems with measurable coefficients in weighted Orlicz spaces [J].

Byun, Sun-Sig ;

Ok, Jihoon ;

Palagachev, Dian K. ;

Softova, Lubomira G. .

COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, 2016, 18 (02)

[9] Weighted W1,p estimates for solutions of non-linear parabolic equations over non-smooth domains [J].

Byun, Sun-Sig ;

Palagachev, Dian K. ;

Ryu, Seungjin .

BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 2013, 45 :765-778

[10] Global weighted estimates for the gradient of solutions to nonlinear elliptic equations [J].

Byun, Sun-Sig ;

Ryu, Seungjin .

ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE, 2013, 30 (02) :291-313

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