Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Sharp estimates for maximal operators associated to the wave equation   We give almost sharp conditions under which the maximal operator associated
with the wave equation with initial data in Sobolev space H^s(R^n) is bounded
from H^s(R^n) to L^q(R^n).

11
The categories of this paper are: hep-lat
17
The categories of this paper are: q-fin
13
The categories of this paper are: quant-ph
3
The categories of this paper are: physics
26
The categories of this paper are: bayes-an
35
The categories of this paper are: mtrl-th
7
The categories of this paper are: hep-th
19
The categories of this paper are: eess
18
The categories of this paper are: econ
9
The categories of this paper are: nlin
27
The categories of this paper are: comp-gas
28
The categories of this paper are: alg-geom
1
The categories of this paper are: cs
16
The categories of this paper are: stat
10
The categories of this paper are: q-bio
5
The categories of this paper are: gr-qc