Linear and sublinear operators on generalized Morrey spaces with non-doubling measures

被引：16

作者：

Guliyev, Vagif ^{[1
,2
]}

Sawano, Yoshihiro ^{[3
]}

机构：

[1] Ahi Evran Univ, Dept Math, Kirsehir, Turkey

[2] Inst Math & Mech NAS Azerbaijan, Baku 370000, Azerbaijan

[3] Tokyo Metropolitan Univ, Dept Math & Informat Sci, Hachioji, Tokyo 6068502, Japan

来源：

PUBLICATIONES MATHEMATICAE-DEBRECEN | 2013年 / 83卷 / 03期

基金：

日本学术振兴会;

关键词：

Morrey spaces; generalized Morrey spaces; maximal operator; singular integral operators; fractional integral operator; commutators; FRACTIONAL INTEGRAL-OPERATORS; CALDERON-ZYGMUND OPERATORS; MAXIMAL OPERATOR; MULTILINEAR COMMUTATORS; RIESZ-POTENTIALS; HERZ SPACES; BOUNDEDNESS; INEQUALITIES;

D O I：

10.5486/PMD.2013.5508

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

By using a geometric structure of the Euclidean space, the theory of generalized Morrey spaces is shown to be available in the non-doubling setting. Some classical operators are established to be bounded in the generalized spaces defined in the present paper.

引用

页码：303 / 327

页数：25

共 45 条

[1]

ADAMS DR, 1975, DUKE MATH J, V42, P765, DOI 10.1215/S0012-7094-75-04265-9

[2]

Burenkov VI, 2007, CONTEMP MATH, V424, P17

[3] Boundedness of the fractional maximal operator in local Morrey-type spaces [J].

Burenkov, V. I. ;

Gogatishvili, A. ;

Guliyev, V. S. ;

Mustafayev, R. Ch. .

COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 2010, 55 (8-10) :739-758

[4] Boundedness of the Riesz Potential in Local Morrey-Type Spaces [J].

Burenkov, Victor I. ;

Gogatishvili, Amiran ;

Guliyev, Vagif S. ;

Mustafayev, Rza Ch .

POTENTIAL ANALYSIS, 2011, 35 (01) :67-87

[5] Necessary and Sufficient Conditions for the Boundedness of the Riesz Potential in Local Morrey-type Spaces [J].

Burenkov, Victor I. ;

Guliyev, Vagif S. .

POTENTIAL ANALYSIS, 2009, 30 (03) :211-249

[6]

Eridani A., 2004, SCI MATH JPN, V60, P539

[7] Boundedness properties of fractional integral operators associated to non-doubling measures [J].

García-Cuerva, J ;

Gatto, AE .

STUDIA MATHEMATICA, 2004, 162 (03) :245-261

[8]

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

[9]

Guliyev V. S., 2012, Transactions of Azerbaijan National Academy of Sciences, P61

[10]

Guliyev V. S., 1999, Function spaces, Integral Operators and Two Weighted Inequalities on Homogeneous Groups

← 1 2 3 4 5 →