Remarks on Weak-Type Estimates for Certain Grand Square Functions

被引：0

作者：

Huang, Yi ^{[1
,2
,3
]}

机构：

[1] Univ Paris Sud, Paris, France

[2] Univ Paris Saclay, Paris, France

[3] Nanjing Normal Univ, Nanjing, Jiangsu, Peoples R China

来源：

MATHEMATICAL NOTES | 2018年 / 103卷 / 3-4期

关键词：

Littlewood-Paley operators; (grand) square functions; sharp aperture dependence; weak-type estimates; Lorentz spaces; INEQUALITIES; LAMBDA; NORM;

D O I：

10.1134/S0001434618030252

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this note we extend weak-type estimates obtained recently by A. K. Lerner to certain grand square functions by using a simple argument in terms of real variables. In this way, we improve a weak-type L (1)-estimate for grand Littlewood-Paley operators due to N. N. Osipov.

引用

页码：589 / 592

页数：4

共 50 条

[21] Weak-type estimates for singular integrals and the Riesz transform
Janakiraman, P
INDIANA UNIVERSITY MATHEMATICS JOURNAL, 2004, 53 (02) : 533 - 555
[22] Weak-type Estimates and Potential Estimates for Elliptic Equations with Drift Terms
Hara, Takanobu
POTENTIAL ANALYSIS, 2016, 44 (01) : 189 - 214
[23] Weak Type Estimates for Intrinsic Square Functions on Weighted Morrey Spaces
Hua Wang
Analysis in Theory and Applications, 2013, 29 (02) : 104 - 119
[24] Weak type estimates of intrinsic square functions on the weighted Hardy spaces
Hua Wang
Heping Liu
Archiv der Mathematik, 2011, 97 : 49 - 59
[25] Weak type estimates of intrinsic square functions on the weighted Hardy spaces
Wang, Hua
Liu, Heping
ARCHIV DER MATHEMATIK, 2011, 97 (01) : 49 - 59
[26] THE WEAK-TYPE CARLESON THEOREM VIA WAVE PACKET ESTIMATES
Di Plinio, Francesco
Fragkos, Anastasios
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2025, 378 (03) : 1551 - 1592
[27] MAXIMAL ESTIMATES ON MEASURE-SPACES FOR WEAK-TYPE MULTIPLIERS
ASMAR, N
BERKSON, E
GILLESPIE, TA
JOURNAL OF GEOMETRIC ANALYSIS, 1995, 5 (02) : 167 - 179
[28] Weak-type Endpoint Estimates for Multilinear Singular Integral Operators
Dun Yan YAN School of Information Science and Engineering
ActaMathematicaSinica(EnglishSeries), 2005, 21 (01) : 209 - 214
[29] Weak-Type (1, 1) Estimates for Strongly Singular Operators
M. Folch-Gabayet
R. A. Sáenz
Analysis Mathematica, 2019, 45 : 505 - 514
[30] Weak-type Endpoint Estimates for Multilinear Singular Integral Operators
Dun Yan Yan
Guo En Hu
Jia Cheng Lan
Acta Mathematica Sinica, 2005, 21 : 209 - 214

← 1 2 3 4 5 →