Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: $L^p$ Regularity Estimates for a Class of Integral Operators with Fold
  Blowdown Singularities   We prove sharp $L^p$ regularity results for a class of generalized Radon
transforms for families of curves in a three-dimensional manifold associated to
a canonical relation with fold and blowdown singularities. The proof relies on
decoupling inequalities by Wolff and Bourgain-Demeter for plate decompositions
of thin neighborhoods of cones and $L^2$ estimates for related oscillatory
integrals.

30
The categories of this paper are: q-alg
4
The categories of this paper are: cond-mat
37
The categories of this paper are: supr-con
8
The categories of this paper are: hep-ex
6
The categories of this paper are: astro-ph
26
The categories of this paper are: bayes-an
7
The categories of this paper are: hep-th
5
The categories of this paper are: gr-qc
21
The categories of this paper are: adap-org
22
The categories of this paper are: chao-dyn
15
The categories of this paper are: nucl-ex
1
The categories of this paper are: cs
25
The categories of this paper are: patt-sol
32
The categories of this paper are: atom-ph
31
The categories of this paper are: ao-sci
12
The categories of this paper are: nucl-th