Function spaces on lie groups and on analytic manifolds

1988 ◽  
pp. 384-396 ◽  
Author(s):  
Hans Triebel
Keyword(s):  
Lie Groups ◽  
Function Spaces

scholarly journals Homogeneous Triebel-Lizorkin Spaces on Stratified Lie Groups

2013 ◽  
Vol 2013 ◽  
pp. 1-16 ◽  
Author(s):  
Guorong Hu
Keyword(s):  
Lie Groups ◽  
Singular Integral ◽  
Full Range ◽  
Integral Operators ◽  
Function Spaces ◽  
Singular Integral Operators ◽  
Basic Properties ◽  
Stratified Lie Groups ◽  
Type Decomposition

Homogeneous Triebel-Lizorkin spaces with full range of parameters are introduced on stratified Lie groups in terms of Littlewood-Paley-type decomposition. It is shown that the scale of these spaces is independent of the choice of Littlewood-Paley-type decomposition and the sub-Laplacian used for the construction of the decomposition. Some basic properties of these spaces are given. As the main result of this paper, boundedness of a class of singular integral operators on these function spaces is obtained.

Function Spaces on Lie Groups, the Riemannian Approach

1987 ◽  
Vol s2-35 (2) ◽  
pp. 327-338 ◽  
Author(s):  
Hans Triebel
Keyword(s):  
Lie Groups ◽  
Function Spaces

scholarly journals Subelliptic estimates and function spaces on nilpotent Lie groups

1975 ◽  
Vol 13 (1-2) ◽  
pp. 161-207 ◽  
Author(s):  
G. B. Folland
Keyword(s):  
Lie Groups ◽  
Function Spaces ◽  
Nilpotent Lie Groups ◽  
And Function

scholarly journals Characterization of lipschitz spaces on compact Lie groups

1995 ◽  
Vol 58 (2) ◽  
pp. 200-209
Author(s):  
Dashan Fan ◽  
Zengfu Xu
Keyword(s):  
Harmonic Analysis ◽  
Lie Groups ◽  
Function Spaces ◽  
The Other ◽  
Euclidean Spaces ◽  
Compact Lie Groups ◽  
Lipschitz Spaces

AbstractLipschitz spaces are important function spaces with relations to Hp spaces and Campanato spaces, the other two important function spaces in harmonic analysis. In this paper we give some characterizations for Lipschitz spaces on compact Lie groups, which are analogues of results in Euclidean spaces.

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