Weyl transforms and the inverse of the sub-Laplacian on the Heisenberg group

2007 ◽  
pp. 27-36 ◽  
Author(s):  
Aparajita Dasgupta ◽  
M. Wong
Keyword(s):  
Heisenberg Group ◽  
Weyl Transforms

scholarly journals Weyl transforms associated with the Heisenberg group

2008 ◽  
Vol 132 (1) ◽  
pp. 78-86 ◽  
Author(s):  
Lizhong Peng ◽  
Jiman Zhao
Keyword(s):  
Heisenberg Group ◽  
Weyl Transforms

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

The horofunction boundary of the Heisenberg group

2009 ◽  
Vol 242 (2) ◽  
pp. 299-310 ◽  
Author(s):  
Tom Klein ◽  
Andrew Nicas
Keyword(s):  
Heisenberg Group

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.

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