CALDERON-ZYGMUND SINGULAR INTEGRALS IN CENTRAL MORREY-ORLICZ SPACES

被引：0

作者：

Maligranda, Lech ^{[1
]}

Matsuoka, Katsuo ^{[2
]}

机构：

[1] Lulea Univ Technol, Dept Engn Sci & Math, SE-97187 Lulea, Sweden

[2] Nihon Univ, Coll Econ, Chiyoda Ku, 1-3-2 Misaki Cho, Tokyo 1018360, Japan

来源：

TOHOKU MATHEMATICAL JOURNAL | 2020年 / 72卷 / 02期

基金：

日本学术振兴会;

关键词：

Calderon-Zygmund operator; Calderon-Zygmund singular integral; Orlicz function; Orlicz space; weak Orlicz space; central Morrey-Orlicz space; weak central Morrey-Orlicz space; modular inequality; lambda-central mean oscillation-Orlicz space; weak lambda-central mean oscillation-Orlicz space; MAXIMAL FUNCTIONS; HARDY-SPACES; OPERATORS; INEQUALITIES;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove the strong-type and weak-type estimates for the Calderon-Zygmund singular integrals on central Morrey-Orlicz and weak central Morrey-Orlicz spaces defined in our earlier paper [26]. Next part has similar investigations between distinct central Morrey-Orlicz and weak central Morrey-Orlicz spaces. Then we define the lambda-central mean oscillation-Orlicz spaces and its weak version investigating also some estimates for a modified Calderon-Zygmund singular integrals. Also, we show boundedness of a modified Calderon-Zygmund singular integrals from central Morrey-Orlicz spaces to A-central mean oscillation-Orlicz spaces, even for different Orlicz functions, and corresponding weak version.

引用

页码：235 / 259

页数：25

共 41 条

[1]

Alvarez J., 2000, Collect. Math., V51, P1

[2] Strong and weak type inequalities for some classical operators in Orlicz spaces [J].

Cianchi, A .

JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 1999, 60 :187-202

[3]

Deringoz F, 2014, OPER THEORY ADV APPL, V242, P139

[4]

Duoandikoetxea J., 2001, Fourier Analysis

[5]

Dyn'kin E. M., 1991, ENCYCL MATH SCI, V15, P167

[6] 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

[7]

GARCIACUERVA J, 1994, P LOND MATH SOC, V69, P605

[8]

GENEBASHVILI I., 1998, WEIGHT THEORY INTEGR, V92

[9]

GRAFAKOS L., 2008, CLASSICAL FOURIER AN

[10]

GRECO L, 1995, INDIANA U MATH J, V44, P305

← 1 2 3 4 5 →