Weighted p-Adic Hardy Operators and Their Commutators on p-Adic Central Morrey Spaces

被引：25

作者：

Wu, Qing Yan ^{[1
]}

Fu, Zun Wei ^{[1
]}

机构：

[1] Linyi Univ, Dept Math, Linyi 276005, Shandong, Peoples R China

来源：

BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY | 2017年 / 40卷 / 02期

关键词：

Weighted p-adic Hardy operator; p-Adic central Morrey space; p-Adic lambda-central BMO space; AVERAGES; BOUNDS;

D O I：

10.1007/s40840-017-0444-5

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we establish necessary and sufficient conditions for boundedness of weighted p-adic Hardy operators on p-adic Morrey spaces, p-adic central Morrey spaces and p-adic lambda-central BMO spaces, respectively, and obtain their sharp bounds. We also give the characterization of weight functions for which the commutators generated by weighted p-adic Hardy operators and lambda-central BMO functions are bounded on the p-adic central Morrey spaces. This result is different from that on Euclidean spaces due to the special structure of p-adic integers.

引用

页码：635 / 654

页数：20

共 50 条

[1] Weighted p-Adic Hardy Operators and Their Commutators on p-Adic Central Morrey Spaces
Qing Yan Wu
Zun Wei Fu
[J]. Bulletin of the Malaysian Mathematical Sciences Society, 2017, 40 : 635 - 654
[2] Boundedness of p-Adic Hardy Operators and Their Commutators on p-Adic Central Morrey and BMO Spaces
Wu, Qing Yan
Mi, Ling
Fu, Zun Wei
[J]. JOURNAL OF FUNCTION SPACES AND APPLICATIONS, 2013,
[3] Boundedness for Commutators of Rough p-Adic Hardy Operator on p-Adic Central Morrey Spaces
Sarfraz, Naqash
Aslam, Muhammad
Jarad, Fahd
[J]. JOURNAL OF FUNCTION SPACES, 2021, 2021
[4] Weighted Multilinear p-Adic Hardy-Cesaro Operators and Commutators on p-Adic Weighted Morrey-Herz Spaces
Ma, Teng
Zhou, Jiang
[J]. P-ADIC NUMBERS ULTRAMETRIC ANALYSIS AND APPLICATIONS, 2020, 12 (04) : 285 - 296
[5] Bounds of p-adic weighted Hardy-Cesàro operators and their commutators on p-adic weighted spaces of Morrey types
Chuong N.M.
Hung H.D.
Hong N.T.
[J]. P-Adic Numbers, Ultrametric Analysis, and Applications, 2016, 8 (1) : 31 - 44
[6] Weighted multilinear p-adic Hardy operators and commutators on p-adic Herz-type spaces
MA Teng
ZHOU Jiang
[J]. Applied Mathematics:A Journal of Chinese Universities., 2024, 39 (03) - 570
[7] Weighted multilinear p-adic Hardy operators and commutators
Liu, Ronghui
Zhou, Jiang
[J]. OPEN MATHEMATICS, 2017, 15 : 1623 - 1634
[8] Estimates for p-adic fractional integral operators and their commutators on p-adic mixed central Morrey spaces and generalized mixed Morrey spaces
Sarfraz, Naqash
Aslam, Muhammad
Malik, Qasim Ali
[J]. FRACTIONAL CALCULUS AND APPLIED ANALYSIS, 2024, 27 (04) : 1779 - 1799
[9] Characterization of p-Adic Weighted Central Campanato Spaces via p-Adic Hardy Operators Commutator
Ma, Teng
[J]. P-ADIC NUMBERS ULTRAMETRIC ANALYSIS AND APPLICATIONS, 2022, 14 (04) : 305 - 315
[10] Weighted Hardy-Littlewood operators and commutators on p-adic functional spaces
Chuong N.M.
Duong D.V.
[J]. P-Adic Numbers, Ultrametric Analysis, and Applications, 2013, 5 (1) : 65 - 82

← 1 2 3 4 5 →