scholarly journals Weighted Norm Inequalities for Toeplitz Type Operator Related to Singular Integral Operator with Variable Kernel

2019 ◽  
Vol 35 (4) ◽  
pp. 377-391
Author(s):  
global sci
Keyword(s):  
Integral Operator ◽  
Singular Integral Operator ◽  
Singular Integral ◽  
Type Operator ◽  
Weighted Norm ◽  
Weighted Norm Inequalities ◽  
Variable Kernel ◽  
Norm Inequalities ◽  
Toeplitz Type Operator

scholarly journals Weighted norm inequalities for a class of rough singular integrals

2005 ◽  
Vol 2005 (5) ◽  
pp. 657-669
Author(s):  
H. M. Al-Qassem
Keyword(s):  
Integral Operator ◽  
Singular Integral Operator ◽  
Singular Integral ◽  
Singular Integrals ◽  
Singular Operator ◽  
Weighted Norm ◽  
Weighted Norm Inequalities ◽  
Norm Inequalities

Weighted norm inequalities are proved for a rough homogeneous singular integral operator and its corresponding maximal truncated singular operator. Our results are essential improvements as well as extensions of some known results on the weighted boundedness of singular integrals.

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.

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