Borderline Weak–Type Estimates for Sparse Bilinear Forms Involving A∞ Maximal Functions

2021 ◽  
pp. 125372
Author(s):  
Rob Rahm
Keyword(s):  
Weak Type ◽  
Maximal Functions ◽  
Bilinear Forms ◽  
Weak Type Estimates

scholarly journals Weak type estimates for the Hardy-Littlewood maximal functions

1974 ◽  
Vol 49 (3) ◽  
pp. 217-223 ◽  
Author(s):  
Luis Caffarelli ◽  
Calixto Calderón
Keyword(s):  
Weak Type ◽  
Maximal Functions ◽  
Weak Type Estimates

Weighted Estimates for Operators Generated by Maximal Functions on Nonhomogeneous Spaces

2005 ◽  
Vol 12 (1) ◽  
pp. 121-130
Author(s):  
Yasuo Komori
Keyword(s):  
Weak Type ◽  
Maximal Functions ◽  
Weighted Estimates ◽  
Covering Lemma ◽  
Nonhomogeneous Space ◽  
Weak Type Estimates

Abstract We consider weighted weak type estimates for the modified Hardy–Littlewood maximal functions on a nonhomogeneous space. We use the new covering lemma by Sawano.

Weak type estimates for maximal operators with a cylindric distance function

2006 ◽  
Vol 253 (1) ◽  
pp. 1-24 ◽  
Author(s):  
Sunggeum Hong ◽  
Paul Taylor ◽  
Chan Woo Yang
Keyword(s):  
Distance Function ◽  
Weak Type ◽  
Maximal Operators ◽  
Weak Type Estimates

scholarly journals Some weak type estimates for cone multipliers

2000 ◽  
Vol 44 (3) ◽  
pp. 496-515
Author(s):  
Sunggeum Hong
Keyword(s):  
Weak Type ◽  
Weak Type Estimates

scholarly journals Weak Type Estimates of Variable Kernel Fractional Integral and Their Commutators on Variable Exponent Morrey Spaces

2019 ◽  
Vol 2019 ◽  
pp. 1-11
Author(s):  
Xukui Shao ◽  
Shuangping Tao
Keyword(s):  
Lebesgue Space ◽  
Variable Exponent ◽  
Fractional Integral ◽  
Weak Type ◽  
Integral Operators ◽  
Morrey Spaces ◽  
Variable Kernel ◽  
Fractional Integral Operators ◽  
Weak Type Estimates ◽  
Weak Morrey Spaces

In this paper, the authors obtain the boundedness of the fractional integral operators with variable kernels on the variable exponent weak Morrey spaces based on the results of Lebesgue space with variable exponent as the infimum of exponent function p(·) equals 1. The corresponding commutators generated by BMO and Lipschitz functions are considered, respectively.

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