Stability of mappings with bounded distortion in the Sobolev norm on the John domains of Heisenberg groups

2009 ◽  
Vol 50 (3) ◽  
pp. 415-433 ◽  
Author(s):  
D. V. Isangulova
Keyword(s):  
Sobolev Norm ◽  
Heisenberg Groups ◽  
John Domains ◽  
Bounded Distortion ◽  
Stability Of Mappings

scholarly journals Local stability of mappings on multi-normed spaces

2020 ◽  
Vol 2020 (1) ◽  
Author(s):  
Choonkil Park ◽  
Batool Noori ◽  
M. B. Moghimi ◽  
Abbas Najati ◽  
J. M. Rassias
Keyword(s):  
Local Stability ◽  
Normed Spaces ◽  
Stability Of Mappings

Large-scale bounded distortion mappings

2015 ◽  
Vol 34 (6) ◽  
pp. 1-10 ◽  
Author(s):  
Shahar Z. Kovalsky ◽  
Noam Aigerman ◽  
Ronen Basri ◽  
Yaron Lipman
Keyword(s):  
Large Scale ◽  
Bounded Distortion

scholarly journals Counting and equidistribution in quaternionic Heisenberg groups

2021 ◽  
pp. 1-38
Author(s):  
JOUNI PARKKONEN ◽  
FRÉDÉRIC PAULIN
Keyword(s):  
Hyperbolic Geometry ◽  
Quaternion Algebra ◽  
Rational Points ◽  
Hyperbolic Spaces ◽  
Heisenberg Groups ◽  
Arithmetic Groups ◽  
Hermitian Forms ◽  
Dimension 2 ◽  
Counting Formula ◽  
The Relationship

Abstract We develop the relationship between quaternionic hyperbolic geometry and arithmetic counting or equidistribution applications, that arises from the action of arithmetic groups on quaternionic hyperbolic spaces, especially in dimension 2. We prove a Mertens counting formula for the rational points over a definite quaternion algebra A over ${\mathbb{Q}}$ in the light cone of quaternionic Hermitian forms, as well as a Neville equidistribution theorem of the set of rational points over A in quaternionic Heisenberg groups.

scholarly journals Unions of John domains

1999 ◽  
Vol 128 (4) ◽  
pp. 1135-1140 ◽  
Author(s):  
Jussi Väisälä
Keyword(s):  
John Domains

scholarly journals Quantum Heisenberg groups and sklyanin algebras

1994 ◽  
Vol 31 (3) ◽  
pp. 167-177 ◽  
Author(s):  
Nicol�s Andruskiewitsch ◽  
Jorge Devoto ◽  
Alejandro Tiraboschi
Keyword(s):  
Heisenberg Groups ◽  
Sklyanin Algebras

scholarly journals Blow-up of a critical Sobolev norm for energy-subcritical and energy-supercritical wave equations

2018 ◽  
Vol 11 (4) ◽  
pp. 983-1028 ◽  
Author(s):  
Thomas Duyckaerts ◽  
Jianwei Yang
Keyword(s):  
Wave Equations ◽  
Blow Up ◽  
Sobolev Norm
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