Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Factorizations and Hardy-Rellich inequalities on stratified groups   In this paper, we obtain Hardy, Hardy-Rellich and refined Hardy inequalities
on general stratified groups and weighted Hardy inequalities on general
homogeneous groups using the factorization method of differential operators,
inspired by the recent work of Gesztesy and Littlejohn \cite{GL17}. We note
that some of the obtained inequalities are new also in the usual Euclidean
setting. We also obtain analogues of Gesztesy and Littlejohn's 2-parameter
version of the Rellich inequality on stratified groups and on the Heisenberg
group, and a new two-parameter estimate on $\mathbb{R}^{n}$ which can be
regarded as a counterpart to the Gesztesy and Littlejohn's estimate.

19
The categories of this paper are: eess
36
The categories of this paper are: cmp-lg
0
The categories of this paper are: hep-ph
34
The categories of this paper are: chem-ph
15
The categories of this paper are: nucl-ex
28
The categories of this paper are: alg-geom
18
The categories of this paper are: econ
7
The categories of this paper are: hep-th
17
The categories of this paper are: q-fin
4
The categories of this paper are: cond-mat
22
The categories of this paper are: chao-dyn
37
The categories of this paper are: supr-con
33
The categories of this paper are: plasm-ph
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The categories of this paper are: funct-an
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The categories of this paper are: hep-ex
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The categories of this paper are: hep-lat