scholarly journals Weighted estimates for the iterated commutators of multilinear maximal and fractional type operators

2013 ◽  
Vol 217 (2) ◽  
pp. 97-122 ◽  
Author(s):  
Qingying Xue
Keyword(s):  
Weighted Estimates ◽  
Iterated Commutators ◽  
Fractional Type

scholarly journals Weighted Estimates for Iterated Commutators of Riesz Potential on Homogeneous Groups

Mathematics ◽  
2021 ◽  
Vol 9 (19) ◽  
pp. 2421
Author(s):  
Daimei Chen ◽  
Yanping Chen ◽  
Teng Wang
Keyword(s):  
Euclidean Space ◽  
Riesz Potential ◽  
Homogeneous Group ◽  
Homogeneous Groups ◽  
Weighted Estimates ◽  
Iterated Commutators

In this paper, we study the two weight commutators theorem of Riesz potential on an arbitrary homogeneous group H of dimension N. Moreover, in accordance with the results in the Euclidean space, we acquire the quantitative weighted bound on homogeneous group.

scholarly journals Sharp Weighted Bounds for Multilinear Fractional Type Operators Associated with Bergman Projection

2018 ◽  
Vol 2018 ◽  
pp. 1-9
Author(s):  
Juan Zhang ◽  
Senhua Lan ◽  
Qingying Xue
Keyword(s):  
Maximal Function ◽  
Bergman Projection ◽  
Weighted Estimates ◽  
Fractional Maximal Function ◽  
Multiple Weights ◽  
Fractional Type

We first introduce the multiple weights which are suitable for the study of Bergman type operators. Then, we give the sharp weighted estimates for multilinear fractional Bergman operators and fractional maximal function.

scholarly journals Some remarks on the sparse dominations for commutators of multi(sub)linear operator

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Zhidan Wang
Keyword(s):  
Linear Operator ◽  
Linear Operators ◽  
Decay Estimates ◽  
Weighted Estimates ◽  
Iterated Commutators

AbstractWe establish pointwise sparse dominations for the iterated commutators of multi(sub)linear operators satisfying the $W_{q}$ W q condition. As consequences, we present some quantitative weighted estimates for the commutators. In addition, we also obtain the Fefferman–Stein inequality, the Coifman–Fefferman inequality, and the local decay estimates regarding the iterated commutators.

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