Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Endpoint Fourier restriction and unrectifiability   We show that if a measure of dimension $s$ on $\mathbb{R}^d$ admits $(p,q)$
Fourier restriction for some endpoint exponents allowed by its dimension,
namely $q=\tfrac{s}{d}p'$ for some $p>1$, then it is either absolutely
continuous or $1$-purely unrectifiable.

30
The categories of this paper are: q-alg
26
The categories of this paper are: bayes-an
6
The categories of this paper are: astro-ph
14
The categories of this paper are: math-ph
20
The categories of this paper are: acc-phys
37
The categories of this paper are: supr-con
22
The categories of this paper are: chao-dyn
15
The categories of this paper are: nucl-ex
0
The categories of this paper are: hep-ph
8
The categories of this paper are: hep-ex
13
The categories of this paper are: quant-ph
23
The categories of this paper are: solv-int
4
The categories of this paper are: cond-mat
16
The categories of this paper are: stat
25
The categories of this paper are: patt-sol
9
The categories of this paper are: nlin