SINGULAR INTEGRAL OPERATORS WITH ROUGH KERNELS ON CENTRAL MORREY SPACES WITH VARIABLE EXPONENT

被引：25

作者：

Fu, Zunwei ^{[1
,2
]}

Lu, Shanzhen ^{[3
]}

Wang, Hongbin ^{[4
,5
]}

Wang, Liguang ^{[2
]}

机构：

[1] Univ Suwon, Dept Comp Sci, Hwaseong Si 445743, Gyeonggi Do, South Korea

[2] Qufu Normal Univ, Sch Math Sci, Qufu 273100, Shandong, Peoples R China

[3] Beijing Normal Univ, Sch Math Sci, Beijing 100875, Peoples R China

[4] Shandong Univ Technol, Sch Math & Stat, Zibo 255049, Shandong, Peoples R China

[5] Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China

来源：

ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA | 2019年 / 44卷

基金：

中国博士后科学基金; 中国国家自然科学基金;

关键词：

lambda-central BMO spaces; central Morrey space; variable exponent; commutator; singular integral operator; WEIGHTED NORM INEQUALITIES; HARDY-SPACES; BOUNDEDNESS; COMMUTATORS; EQUATIONS;

D O I：

10.5186/aasfm.2019.4431

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we define the lambda-central BMO spaces and the central Morrey spaces with variable exponent. We obtain the boundedness of the singular integral operator T-Omega,T-alpha and its commutator [b, T-Omega,T-alpha] on central Morrey spaces with variable exponent, where Omega is an element of L-s (Sn-1) for s >= 1 be homogeneous function of degree zero, 0 <= alpha < n and b be lambda-central BMO functions. As applications, we consider the regularity in the central Morrey spaces with variable exponent of strong solutions to nondivergence elliptic equations with VMO coefficients.

引用

页码：505 / 522

页数：18

共 31 条

[1]

Alvarez J., 2000, Collectanea Mathematica, V51, P1

[2] Variable exponent, linear growth functionals in image restoration [J].

Chen, Yunmei ;

Levine, Stacey ;

Rao, Murali .

SIAM JOURNAL ON APPLIED MATHEMATICS, 2006, 66 (04) :1383-1406

[3] W2,P-SOLVABILITY OF THE DIRICHLET PROBLEM FOR NONDIVERGENCE ELLIPTIC-EQUATIONS WITH VMO COEFFICIENTS [J].

CHIARENZA, F ;

FRASCA, M ;

LONGO, P .

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1993, 336 (02) :841-853

[4]

Cruz-Uribe D, 2006, ANN ACAD SCI FENN-M, V31, P239

[5]

Cruz-Uribe D, 2003, ANN ACAD SCI FENN-M, V28, P223

[6]

CruzUribe DV, 2013, APPL NUMER HARMON AN, DOI 10.1007/978-3-0348-0548-3

[7] Lebesgue and Sobolev Spaces with Variable Exponents [J].

Diening, Lars ;

Harjulehto, Petteri ;

Hasto, Peter ;

Ruzicka, Michael .

LEBESGUE AND SOBOLEV SPACES WITH VARIABLE EXPONENTS, 2011, 2017 :1-+

[8] WEIGHTED NORM INEQUALITIES FOR HOMOGENEOUS SINGULAR-INTEGRALS [J].

DUOANDIKOETXEA, J .

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1993, 336 (02) :869-880

[9]

Fan D., 1998, Georgian Math. J., V5, P425

[10] λ-central BMO estimates for commutators of singular integral operators with rough kernels [J].

Fu, Zun Wei ;

Lin, Yan ;

Lu, Shan Zhen .

ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2008, 24 (03) :373-386

← 1 2 3 4 →