Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Weak and strong limit values   The classical results about the boundary values of holomorphic or harmonic
functions on a domain $D$ state that under additional integrability assumptions
these functions have limits along specific sets approaching boundary. The
proofs of these results are based on properties of smooth boundaries used to
define the approach regions and on estimates of representing kernels along
these regions. This paper attempts to look at the situation when no assumptions
about the boundary smoothness are made and, consequently, no natural
definitions of approach regions could be given.

17
The categories of this paper are: q-fin
22
The categories of this paper are: chao-dyn
6
The categories of this paper are: astro-ph
3
The categories of this paper are: physics
11
The categories of this paper are: hep-lat
34
The categories of this paper are: chem-ph
31
The categories of this paper are: ao-sci
12
The categories of this paper are: nucl-th
9
The categories of this paper are: nlin
29
The categories of this paper are: funct-an
18
The categories of this paper are: econ
23
The categories of this paper are: solv-int
28
The categories of this paper are: alg-geom
20
The categories of this paper are: acc-phys
36
The categories of this paper are: cmp-lg
33
The categories of this paper are: plasm-ph