Weighted sharp maximal function inequalities and boundedness of a linear operator associated to a singular integral operator with non-smooth kernel

2014 ◽  
Vol 135 (2) ◽  
pp. 149-170
Author(s):  
Dazhao Chen
Keyword(s):  
Linear Operator ◽  
Integral Operator ◽  
Singular Integral Operator ◽  
Singular Integral ◽  
Maximal Function ◽  
Sharp Maximal Function ◽  
Smooth Kernel

scholarly journals Weighted boundedness for toeplitz type operators associated to singular integral operator with non-smooth kernel

Filomat ◽  
2016 ◽  
Vol 30 (9) ◽  
pp. 2489-2502
Author(s):  
Lanzhe Liu
Keyword(s):  
Integral Operator ◽  
Singular Integral Operator ◽  
Singular Integral ◽  
Maximal Function ◽  
Type Operator ◽  
Sharp Maximal Function ◽  
Lebesgue Spaces ◽  
Smooth Kernel ◽  
Toeplitz Type Operator

In this paper, the weighted boundedness of the Toeplitz type operator associated to some singular integral operator with non-smooth kernel on Lebesgue spaces are obtained. To do this, some weighted sharp maximal function inequalities for the operator are proved.

scholarly journals Sharp function inequalities and boundness for Toeplitz type operator related to general fractional singular integral operator

2012 ◽  
Vol 92 (106) ◽  
pp. 165-176 ◽  
Author(s):  
Chuangxia Huang ◽  
Lanzhe Liu
Keyword(s):  
Integral Operator ◽  
Singular Integral Operator ◽  
Singular Integral ◽  
Maximal Function ◽  
Type Operator ◽  
Sharp Maximal Function ◽  
Sharp Function ◽  
Toeplitz Type Operator

We establish some sharp maximal function inequalities for the Toeplitz type operator, which is related to certain fractional singular integral operator with general kernel. These results are helpful to investigate the boundedness of the operator on Lebesgue, Morrey and Triebel-Lizorkin spaces respectively.

scholarly journals BOUNDEDNESS FOR TOEPLITZ TYPE OPERATOR ASSOCIATED WITH SINGULAR INTEGRAL OPERATOR WITH VARIABLE CALDERÓN-ZYGMUND KERNEL

2019 ◽  
pp. 399
Author(s):  
Qiaozhen Zhao
Keyword(s):  
Integral Operator ◽  
Singular Integral Operator ◽  
Singular Integral ◽  
Maximal Function ◽  
Type Operator ◽  
Sharp Maximal Function ◽  
Toeplitz Type Operator

In this paper, we establish sharp maximal function inequalities for the Toeplitz-type operator associated with the singular integral operator with a variable Calderón-Zygmund kernel. As an application, we obtain the boundedness of the operator on Lebesgue, Morrey and Triebel-Lizorkin spaces.

A Singular Integral on L2(Rn)

1994 ◽  
Vol 37 (2) ◽  
pp. 197-201
Author(s):  
Dashan Fan
Keyword(s):  
Linear Operator ◽  
Integral Operator ◽  
Singular Integral Operator ◽  
Singular Integral ◽  
Bounded Linear Operator ◽  
Radial Function ◽  
Bounded Linear ◽  
Zero Condition

AbstractWe consider a convolution singular integral operator associated to a kernel K(x) = b(x)Ω(x)|x|-n, and prove that if b ∊ L∞(ℝn) is a radial function and Ω ∊ H(Σn-1) with mean zero condition (1), then is a bounded linear operator in the space L2(ℝn).

On a singular integral operator

1988 ◽  
Vol 43 (3) ◽  
pp. 199-200
Author(s):  
K Kh Boimatov ◽  
G Dzhangibekov
Keyword(s):  
Integral Operator ◽  
Singular Integral Operator ◽  
Singular Integral
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