Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Sequence of Weighted Birman-Hardy-Rellich Inequalities with
  Logarithmic Refinements   The principal aim of this paper is to extend Birman's sequence of integral
inequalities originally obtained in 1961, and containing Hardy's and Rellich's
inequality as special cases, to a sequence of inequalities that incorporates
power weights on either side and logarithmic refinements on the right-hand side
of the inequality as well. Our new technique of proof for this sequence of
inequalities relies on a combination of transforms originally due to Hartman
and M\"uller-Pfeiffer. The results obtained considerably improve on prior
results in the literature.

23
The categories of this paper are: solv-int
6
The categories of this paper are: astro-ph
21
The categories of this paper are: adap-org
17
The categories of this paper are: q-fin
7
The categories of this paper are: hep-th
28
The categories of this paper are: alg-geom
3
The categories of this paper are: physics
24
The categories of this paper are: dg-ga
26
The categories of this paper are: bayes-an
16
The categories of this paper are: stat
33
The categories of this paper are: plasm-ph
1
The categories of this paper are: cs
32
The categories of this paper are: atom-ph
18
The categories of this paper are: econ
20
The categories of this paper are: acc-phys
30
The categories of this paper are: q-alg