Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Weighted HLS inequalities for radial functions and Strichartz estimates
  for wave and Schroedinger equations   This paper is concerned with derivation of the global or local in time
Strichartz estimates for radially symmetric solutions of the free wave equation
from some Morawetz-type estimates via weighted Hardy-Littlewood-Sobolev (HLS)
inequalities. In the same way we also derive the weighted end-point Strichartz
estimates with gain of derivatives for radially symmetric solutions of the free
Schroedinger equation.
  The proof of the weighted HLS inequality for radially symmetric functions
involves an application of the weighted inequality due to Stein and Weiss and
the Hardy-Littlewood maximal inequality in the weighted Lebesgue space due to
Muckenhoupt. Under radial symmetry we get significant gains over the usual HLS
inequality and Strichartz estimate.

34
The categories of this paper are: chem-ph
1
The categories of this paper are: cs
16
The categories of this paper are: stat
24
The categories of this paper are: dg-ga
25
The categories of this paper are: patt-sol
37
The categories of this paper are: supr-con
12
The categories of this paper are: nucl-th
15
The categories of this paper are: nucl-ex
20
The categories of this paper are: acc-phys
9
The categories of this paper are: nlin
28
The categories of this paper are: alg-geom
35
The categories of this paper are: mtrl-th
11
The categories of this paper are: hep-lat
18
The categories of this paper are: econ
30
The categories of this paper are: q-alg
17
The categories of this paper are: q-fin