Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Symmetries on manifolds: Generalizations of the Radial Lemma of Strauss   For a compact subgroup $G$ of the group of isometries acting on a Riemannian
manifold $M$ we investigate subspaces of Besov and Triebel-Lizorkin type which
are invariant with respect to the group action. Our main aim is to extend the
classical Strauss lemma under suitable assumptions on the Riemannian manifold
by proving that $G$-invariance of functions implies certain decay properties
and better local smoothness. As an application we obtain inequalities of
Caffarelli-Kohn-Nirenberg type for $G$-invariant functions. Our results
generalize those obtained by Skrzypczak. The main tool in our investigations
are atomic decompositions adapted to the $G$-action in combination with trace
theorems.

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The categories of this paper are: gr-qc
30
The categories of this paper are: q-alg
34
The categories of this paper are: chem-ph
14
The categories of this paper are: math-ph
25
The categories of this paper are: patt-sol
9
The categories of this paper are: nlin
15
The categories of this paper are: nucl-ex
29
The categories of this paper are: funct-an
0
The categories of this paper are: hep-ph
22
The categories of this paper are: chao-dyn
8
The categories of this paper are: hep-ex
37
The categories of this paper are: supr-con
10
The categories of this paper are: q-bio
16
The categories of this paper are: stat
31
The categories of this paper are: ao-sci
3
The categories of this paper are: physics