Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Optimal behavior of weighted Hardy operators on rearrangement-invariant
  spaces   The behavior of certain weighted Hardy-type operators on
rearrangement-invariant function spaces is thoroughly studied with emphasis
being put on the optimality of the obtained results. First, the optimal
rearrangement-invariant function spaces (that is, the best possible function
spaces within the class of rearrangement-invariant function spaces)
guaranteeing the boundedness of the operators from/to a given
rearrangement-invariant function space are described. Second, the optimal
rearrangement-invariant function norms being sometimes complicated, the
question of whether and how they can be simplified to more manageable
expressions, arguably more useful in practice, is addressed. Last, iterated
weighted Hardy-type operators are also studied.
  Besides aiming to provide a comprehensive treatment of the optimal behavior
of the operators on rearrangement-invariant function spaces in one place, the
paper is motivated by its applicability in various fields of mathematical
analysis, such as harmonic analysis, extrapolation theory or the theory of
Sobolev-type spaces.

16
The categories of this paper are: stat
11
The categories of this paper are: hep-lat
1
The categories of this paper are: cs
36
The categories of this paper are: cmp-lg
3
The categories of this paper are: physics
32
The categories of this paper are: atom-ph
28
The categories of this paper are: alg-geom
33
The categories of this paper are: plasm-ph
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
12
The categories of this paper are: nucl-th
31
The categories of this paper are: ao-sci
29
The categories of this paper are: funct-an
37
The categories of this paper are: supr-con
26
The categories of this paper are: bayes-an