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.

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 the Hilbert Transform of Odd Functions

1994 ◽  
Vol 1 (1) ◽  
pp. 77-97
Author(s):  
Luboš Pick
Keyword(s):  
Integral Operator ◽  
Hilbert Transform ◽  
Weak Type ◽  
Weighted Estimates ◽  
Weak Type Estimates ◽  
The Hilbert Transform

Abstract The aim of the present paper is to characterize the classes of weights which ensure the validity of one-weighted strong, weak or extra-weak type estimates in Orlicz classes for the integral operator

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.

scholarly journals Weighted Estimates for Rough Maximal Functions with Applications to Angular Integrability

2019 ◽  
Vol 2019 ◽  
pp. 1-10
Author(s):  
Feng Liu ◽  
Fangfang Xu
Keyword(s):  
Function Spaces ◽  
Maximal Functions ◽  
Rough Kernels ◽  
Weighted Estimates ◽  
Polynomial Curves ◽  
Definition Of ◽  
Vector Valued Function ◽  
Vector Valued

In this note we establish certain weighted estimates for a class of maximal functions with rough kernels along “polynomial curves” on Rn. As applications, we obtain the bounds of the above operators on the mixed radial-angular spaces, on the vector-valued mixed radial-angular spaces, and on the vector-valued function spaces. Particularly, the above bounds are independent of the coefficients of the polynomials in the definition of the operators.

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