Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Dimension estimates for the boundary of planar Sobolev extension domains   We prove an asymptotically sharp dimension upper-bound for the boundary of
bounded simply-connected planar Sobolev $W^{1,p}$-extension domains via the
weak mean porosity of the boundary. The sharpness of our estimate is shown by
examples.

36
The categories of this paper are: cmp-lg
1
The categories of this paper are: cs
27
The categories of this paper are: comp-gas
29
The categories of this paper are: funct-an
21
The categories of this paper are: adap-org
5
The categories of this paper are: gr-qc
30
The categories of this paper are: q-alg
19
The categories of this paper are: eess
28
The categories of this paper are: alg-geom
24
The categories of this paper are: dg-ga
9
The categories of this paper are: nlin
10
The categories of this paper are: q-bio
12
The categories of this paper are: nucl-th
8
The categories of this paper are: hep-ex
17
The categories of this paper are: q-fin
0
The categories of this paper are: hep-ph