Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: One sided extendability and p-continuous analytic capacities   Using complex methods combined with Baire's Theorem we show that one-sided
extendability, extendability and real analyticity are rare phenomena on various
spaces of functions in the topological sense. These considerations led us to
introduce the p-continuous analytic capacity and variants of it, $p \in \{ 0,
1, 2, \cdots \} \cup \{ \infty \}$, for compact or closed sets in $\mathbb{C}$.
We use these capacities in order to characterize the removability of
singularities of functions in the spaces $A^p$.

9
The categories of this paper are: nlin
21
The categories of this paper are: adap-org
18
The categories of this paper are: econ
14
The categories of this paper are: math-ph
33
The categories of this paper are: plasm-ph
35
The categories of this paper are: mtrl-th
25
The categories of this paper are: patt-sol
28
The categories of this paper are: alg-geom
26
The categories of this paper are: bayes-an
27
The categories of this paper are: comp-gas
36
The categories of this paper are: cmp-lg
3
The categories of this paper are: physics
4
The categories of this paper are: cond-mat
7
The categories of this paper are: hep-th
37
The categories of this paper are: supr-con
6
The categories of this paper are: astro-ph