Two-weight norm inequalities for fractional maximal functions and fractional integral operators on weighted Morrey spaces

被引：11

作者：

Pan, Junren ^{[1
,2
]}

Sun, Wenchang ^{[1
,2
]}

机构：

[1] Nankai Univ, Sch Math Sci, Tianjin 300071, Peoples R China

[2] Nankai Univ, LPMC, Tianjin 300071, Peoples R China

来源：

MATHEMATISCHE NACHRICHTEN | 2020年 / 293卷 / 05期

关键词：

fractional integrals; fractional maximal operators; weighted Morrey spaces; CALDERON-ZYGMUND OPERATORS; BOUNDS;

D O I：

10.1002/mana.201800493

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we consider weighted norm inequalities for fractional maximal operators and fractional integral operators. For suitable weights, we prove the two-weight norm inequalities for both operators on weighted Morrey spaces.

引用

页码：970 / 982

页数：13

共 31 条

[11] Weighted norm inequalities for multilinear fractional operators on Morrey spaces [J].

Iida, Takeshi ;

Sato, Enji ;

Sawano, Yoshihiro ;

Tanaka, Hitoshi .

STUDIA MATHEMATICA, 2011, 205 (02) :139-170

[12] Ostrowski type inequalities involving conformable fractional integrals [J].

Khan, Muhammad Adil ;

Begum, Sumbel ;

Khurshid, Yousaf ;

Chu, Yu-Ming .

JOURNAL OF INEQUALITIES AND APPLICATIONS, 2018,

[13]

Kokilashvili V., 2011, J. Math. Sci. (N.Y), V173, no, P656

[14] Weighted Morrey spaces and a singular integral operator [J].

Komori, Yasuo ;

Shirai, Satoru .

MATHEMATISCHE NACHRICHTEN, 2009, 282 (02) :219-231

[15] Weighted estimates for fractional integral operators on central Morrey spaces [J].

Komori-Furuya, Yasuo ;

Sato, Enji .

MATHEMATISCHE NACHRICHTEN, 2017, 290 (17-18) :2901-2908

[16] A CHARACTERIZATION OF TWO WEIGHT NORM INEQUALITIES FOR MAXIMAL SINGULAR INTEGRALS WITH ONE DOUBLING MEASURE [J].

Lacey, Michael ;

Sawyer, Eric T. ;

Uriarte-Tuero, Ignacio .

ANALYSIS & PDE, 2012, 5 (01) :1-60

[17] TWO WEIGHT NORM INEQUALITIES FOR THE g FUNCTION [J].

Lacey, Michael T. ;

Li, Kangwei .

MATHEMATICAL RESEARCH LETTERS, 2014, 21 (03) :521-536

[18] Sharp weighted bounds for fractional integral operators [J].

Lacey, Michael T. ;

Moen, Kabe ;

Perez, Carlos ;

Torres, Rodolfo H. .

JOURNAL OF FUNCTIONAL ANALYSIS, 2010, 259 (05) :1073-1097

[19] ON AN ESTIMATE OF CALDERON-ZYGMUND OPERATORS BY DYADIC POSITIVE OPERATORS [J].

Lerner, Andrei K. .

JOURNAL D ANALYSE MATHEMATIQUE, 2013, 121 :141-161

[20] Bilinear Fractional Integral Along Homogeneous Curves [J].

Li, Junfeng ;

Liu, Peng .

JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS, 2017, 23 (06) :1465-1479

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