scholarly journals Compression bounds for Lipschitz maps from the Heisenberg group to L1

2011 ◽  
Vol 207 (2) ◽  
pp. 291-373 ◽  
Author(s):  
Jeff Cheeger ◽  
Bruce Kleiner ◽  
Assaf Naor
Keyword(s):  
Heisenberg Group ◽  
Lipschitz Maps

Lifts of Lipschitz maps and horizontal fractals in the Heisenberg group

2006 ◽  
Vol 26 (03) ◽  
pp. 621 ◽  
Author(s):  
ZOLTÁN M. BALOGH ◽  
REGULA HOEFER-ISENEGGER ◽  
JEREMY T. TYSON
Keyword(s):  
Heisenberg Group ◽  
Lipschitz Maps

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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