Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On linear extension for interpolating sequences   Title: On linear extension for interpolating sequences. Author: Eric Amar
  Abstract: Let A be a uniform algebra on the compact space X and $\sigma $ a
probability measure on X. We define the Hardy spaces $H^{p}(\sigma)$ and the
$H^{p}(\sigma)$ interpolating sequences S in the p-spectrum ${\mathcal{M}}_{p}$
of $\sigma $. We prove, under some structural hypotheses on $\sigma $ that
"Carleson type" conditions on S imply that S is interpolating with a linear
extension operator in $\displaystyle H^{s}(\sigma), s<p$ provided that either
$p=\infty $ or $p\leq 2$.
  This gives new results on interpolating sequences for Hardy spaces of the
ball and the polydisc. In particular in the case of the unit ball of
${\mathbb{C}}^{n}$ we get that if there is a sequence $\{\rho_{a}\}_{a\in S}$
bounded in $H^{\infty}({\mathbb{B}})$ such that $\forall a,b\in S, \rho
_{a}(b)=\delta_{ab}$, then S is $H^{p}({\mathbb{B}})$-interpolating with a
linear extension operator for any $1\leq p<\infty $.

29
The categories of this paper are: funct-an
1
The categories of this paper are: cs
10
The categories of this paper are: q-bio
18
The categories of this paper are: econ
21
The categories of this paper are: adap-org
24
The categories of this paper are: dg-ga
17
The categories of this paper are: q-fin
4
The categories of this paper are: cond-mat
12
The categories of this paper are: nucl-th
3
The categories of this paper are: physics
15
The categories of this paper are: nucl-ex
27
The categories of this paper are: comp-gas
25
The categories of this paper are: patt-sol
33
The categories of this paper are: plasm-ph
6
The categories of this paper are: astro-ph
11
The categories of this paper are: hep-lat