Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Compact embeddings of model subspaces of the Hardy space   We study embeddings of model (star-invariant) subspaces $K^p_{\Theta}$ of the
Hardy space $H^p$, associated with an inner function $\Theta$. We obtain a
criterion for the compactness of the embedding of $K^p_{\Theta}$ into
$L^p(\mu)$ analogous to the Volberg--Treil theorem on bounded embeddings and
answer a question posed by Cima and Matheson. The proof is based on Bernstein
inequalities for functions in $K^p_{\Theta}$. Also we study measures $\mu$ such
that the embedding operator belongs to a Schatten--von Neumann ideal.

19
The categories of this paper are: eess
3
The categories of this paper are: physics
5
The categories of this paper are: gr-qc
21
The categories of this paper are: adap-org
36
The categories of this paper are: cmp-lg
32
The categories of this paper are: atom-ph
34
The categories of this paper are: chem-ph
8
The categories of this paper are: hep-ex
16
The categories of this paper are: stat
9
The categories of this paper are: nlin
29
The categories of this paper are: funct-an
13
The categories of this paper are: quant-ph
24
The categories of this paper are: dg-ga
0
The categories of this paper are: hep-ph
1
The categories of this paper are: cs
18
The categories of this paper are: econ