scholarly journals A quantitative stability theorem for convolution on the Heisenberg group

2021 ◽  
Author(s):  
Kevin O'Neill
Keyword(s):  
Heisenberg Group ◽  
Stability Theorem ◽  
Quantitative Stability

scholarly journals Sharp estimates of the geometric rigidity on the first Heisenberg group

2019 ◽  
Vol 488 (6) ◽  
pp. 590-594
Author(s):  
D. V. Isangulova
Keyword(s):  
Heisenberg Group ◽  
Riemannian Geometry ◽  
Uniform Norm ◽  
Sobolev Norm ◽  
John Domain ◽  
Quantitative Stability ◽  
Sharp Estimates ◽  
Geometric Rigidity

We prove quantitative stability of isometries on the first Heisenberg group with sub-Riemannian geometry: every (1 + )-quasi-isometry of the John domain of the Heisenberg group is close to some isometry with order of closeness in the uniform norm and with the order of closeness+ in the Sobolev norm. An example demonstrating the asymptotic sharpness of the results is given.

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

Development, Validation and Results of Quantitative Stability Testing for Gastrografin®

2014 ◽  
Vol 10 (2) ◽  
pp. 92-96 ◽  
Author(s):  
Neera Naidoo ◽  
Ryash Vather ◽  
Noble Kuntworbe ◽  
Ian Bissett ◽  
Gil Hardy
Keyword(s):  
Stability Testing ◽  
Quantitative Stability
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