Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Some new light on a few classical results   The purpose of this paper is to describe a unified approach to proving
vector-valued inequalities without relying on the full strength of weighted
theory. Our applications include the Fefferman-Stein and Cordoba-Fefferman
inequalities, as well as the vector-valued Carleson operator. Using this
approach we also produce a proof of the boundedness of the classical
bi-parameter multiplier operators, that does not rely on product theory. Our
arguments are inspired by the vector valued restricted type interpolation used
in [1].

6
The categories of this paper are: astro-ph
0
The categories of this paper are: hep-ph
30
The categories of this paper are: q-alg
20
The categories of this paper are: acc-phys
10
The categories of this paper are: q-bio
18
The categories of this paper are: econ
12
The categories of this paper are: nucl-th
14
The categories of this paper are: math-ph
22
The categories of this paper are: chao-dyn
23
The categories of this paper are: solv-int
33
The categories of this paper are: plasm-ph
27
The categories of this paper are: comp-gas
32
The categories of this paper are: atom-ph
4
The categories of this paper are: cond-mat
25
The categories of this paper are: patt-sol
29
The categories of this paper are: funct-an