On the Boundedness of Sublinear Operators on Grand Herz-Hardy Spaces with Variable Exponent

被引：0

作者：

Shabbir, Faiza ^{[1
]}

Zaighum, Muhammad Asad ^{[1
]}

机构：

[1] Riphah Int Univ, Dept Math & Stat, Islamabad, Pakistan

来源：

MEDITERRANEAN JOURNAL OF MATHEMATICS | 2024年 / 21卷 / 02期

关键词：

Grand Herz-Hardy spaces; variable exponent spaces; sublinear operators; CALDERON-ZYGMUND OPERATORS; SMOOTHNESS;

D O I：

10.1007/s00009-024-02593-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, grand Herz-Hardy spaces with variable exponent is introduced. We prove the atomic decomposition of grand Herz-Hardy spaces with variable exponent. As an application we prove the boundedness of sublinear operators on grand Herz-Hardy spaces with variable exponent.

引用

页数：20

共 50 条

[31] Mapping properties of the fractional integral operators on Herz-Hardy spaces with variable exponents
Ho, Kwok-Pun
BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN, 2022, 28 (05) : 723 - 736
[32] On the Boundedness of Marcinkiewicz Integrals on Variable Exponent Herz-type Hardy Spaces
Heraiz, Rabah
KYUNGPOOK MATHEMATICAL JOURNAL, 2019, 59 (02): : 259 - 275
[33] BOUNDEDNESS OF SOME SUBLINEAR OPERATORS ON WEIGHTED VARIABLE HERZ-MORREY SPACES
Wang, Liwei
Shu, Lisheng
JOURNAL OF MATHEMATICAL INEQUALITIES, 2018, 12 (01): : 31 - 42
[34] Boundedness of commutators on Herz spaces with variable exponent
Izuki M.
Rendiconti del Circolo Matematico di Palermo, 2010, 59 (2) : 199 - 213
[35] Boundedness on variable exponent Morrey-Herz space for fractional multilinear Hardy operators
Asim, Muhammad
Alnemer, Ghada
AIMS MATHEMATICS, 2025, 10 (01): : 117 - 136
[36] Boundedness of singular integral operators on weak Herz type spaces with variable exponent
Wang, Hongbin
Liu, Zongguang
ANNALS OF FUNCTIONAL ANALYSIS, 2020, 11 (04) : 1108 - 1125
[37] Boundedness of Singular Integral Operators on Herz-Morrey Spaces with Variable Exponent
Hongbin Wang
Fanghui Liao
Chinese Annals of Mathematics, Series B, 2020, 41 : 99 - 116
[38] Boundedness of singular integral operators on weak Herz type spaces with variable exponent
Hongbin Wang
Zongguang Liu
Annals of Functional Analysis, 2020, 11 : 1108 - 1125
[39] Boundedness of Singular Integral Operators on Herz-Morrey Spaces with Variable Exponent
Wang, Hongbin
Liao, Fanghui
CHINESE ANNALS OF MATHEMATICS SERIES B, 2020, 41 (01) : 99 - 116
[40] Boundedness of Singular Integral Operators on Herz-Morrey Spaces with Variable Exponent
Hongbin WANG
Fanghui LIAO
ChineseAnnalsofMathematics,SeriesB, 2020, (01) : 99 - 116

← 1 2 3 4 5 →