Weighted Lebesgue and Central Morrey Estimates for p-Adic Multilinear Hausdorff Operators and Their Commutators

2021 ◽  
Author(s):  
N. M. Chuong ◽  
D. V. Duong ◽  
K. H. Dung
Keyword(s):  
Morrey Estimates ◽  
Hausdorff Operators

scholarly journals Weighted Lebesgue and central Morrey estimates for -adic multilinear Hausdorff operators and its commutators

2021 ◽  
Vol 73 (7) ◽  
pp. 979-1004
Author(s):  
N. M. Chuong ◽  
D. V. Duong ◽  
K. H. Dung
Keyword(s):  
Morrey Spaces ◽  
Muckenhoupt Weights ◽  
Bmo Space ◽  
Morrey Estimates ◽  
Power Weights ◽  
Hausdorff Operators

UDC 517.9 We establish the sharp boundedness of -adic multilinear Hausdorff operators on the product of Lebesgue and central Morrey spaces associated with both power weights and Muckenhoupt weights. Moreover, the boundedness for the commutators of -adic multilinear Hausdorff operators on the such spaces with symbols in central BMO space is also obtained.

The Dirichlet problem for the uniformly elliptic equation in generalized weighted Morrey spaces

2020 ◽  
Vol 57 (1) ◽  
pp. 68-90 ◽  
Author(s):  
Tahir S. Gadjiev ◽  
Vagif S. Guliyev ◽  
Konul G. Suleymanova
Keyword(s):  
Elliptic Equations ◽  
A Priori Estimates ◽  
A Priori ◽  
Morrey Spaces ◽  
Smooth Bounded Domain ◽  
Weighted Morrey Spaces ◽  
Priori Estimates ◽  
Muckenhoupt Class ◽  
Morrey Estimates ◽  
Dirichlet Boundary Problem

Abstract In this paper, we obtain generalized weighted Sobolev-Morrey estimates with weights from the Muckenhoupt class Ap by establishing boundedness of several important operators in harmonic analysis such as Hardy-Littlewood operators and Calderon-Zygmund singular integral operators in generalized weighted Morrey spaces. As a consequence, a priori estimates for the weak solutions Dirichlet boundary problem uniformly elliptic equations of higher order in generalized weighted Sobolev-Morrey spaces in a smooth bounded domain Ω ⊂ ℝn are obtained.

Weighted estimates for commutators of Hausdorff operators on the Heisenberg group

2020 ◽  
pp. 39-62
Author(s):  
Nguyen Minh Chuong ◽  
◽  
Dao Van Duong ◽  
Nguyen Duc Duyet ◽  
◽  
...  
Keyword(s):  
Heisenberg Group ◽  
Weighted Estimates ◽  
Hausdorff Operators

scholarly journals Weighted CBMO estimates for commutators of matrix Hausdorff operator on the Heisenberg group

2020 ◽  
Vol 18 (1) ◽  
pp. 496-511
Author(s):  
Amna Ajaib ◽  
Amjad Hussain
Keyword(s):  
Heisenberg Group ◽  
Herz Spaces ◽  
Hausdorff Operator ◽  
Hausdorff Operators

Abstract In this article, we study the commutators of Hausdorff operators and establish their boundedness on the weighted Herz spaces in the setting of the Heisenberg group.

Hausdorff operators on Euclidean spaces

2013 ◽  
Vol 28 (4) ◽  
pp. 548-564 ◽  
Author(s):  
Jie-cheng Chen ◽  
Da-shan Fan ◽  
Si-lei Wang
Keyword(s):  
Euclidean Spaces ◽  
Hausdorff Operators
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