Estimates of Intrinsic Square Functions on Generalized Weighted Morrey Spaces

被引：3

作者：

Gao, Guilian ^{[1
]}

Wu, Xiaomei ^{[2
]}

机构：

[1] Hangzhou Dianzi Univ, Sch Sci, Hangzhou 310018, Zhejiang, Peoples R China

[2] Zhejiang Normal Univ, Dept Math, Jinhua 321004, Peoples R China

来源：

JOURNAL OF FUNCTION SPACES | 2014年 / 2014卷

关键词：

INTEGRAL-OPERATORS; BOUNDEDNESS; COMMUTATORS;

D O I：

10.1155/2014/168381

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove the boundedness of the intrinsic functions on generalized weighted Morrey spaces M-p,M-phi(w), including the strong type estimates and weak type estimates. Moreover, we define the kth-order commutators generated by BMO (R-n) functions and intrinsic functions, and obtain their strong type estimates on M-p,M-phi(w). In some cases, we improve previous results.

引用

页数：8

共 30 条

[1]

Akbulut A, 2012, MATH BOHEM, V137, P27

[2] Boundedness of the parametric Marcinkiewicz integral operator and its commutators on generalized Morrey spaces [J].

Aliev, Seymur S. ;

Guliev, Vagif S. .

GEORGIAN MATHEMATICAL JOURNAL, 2012, 19 (02) :195-208

[3] On embeddings between classical Lorentz spaces [J].

Carro, M ;

Pick, L ;

Soria, J ;

Stepanov, VD .

MATHEMATICAL INEQUALITIES & APPLICATIONS, 2001, 4 (03) :397-428

[4] Boundedness of fractional oscillatory integral operators and their commutators on generalized Morrey spaces [J].

Eroglu, Ahmet .

BOUNDARY VALUE PROBLEMS, 2013,

[5] Boundedness of sublinear operators and their commutators on generalized central Morrey spaces [J].

Fan, Yun .

JOURNAL OF INEQUALITIES AND APPLICATIONS, 2013,

[6]

Grafakos L., 2004, Classical and Modern Fourier Analysis

[7]

Guliyev V., 2009, J. Inequal. Appl, DOI DOI 10.1155/2009/503948

[8]

Guliyev VS, 2012, EURASIAN MATH J, V3, P33

[9]

Guliyev V. S., 2011, P INT C HON VI BUR O, V20

[10]

Guliyev V. S., 2013, P IMM NAS AZERBAIJAN, V39, P1

← 1 2 3 →