Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: $L^p$-bounds for pseudo-differential operators on graded Lie groups   In this work we obtain sharp $L^p$-estimates for pseudo-differential
operators on arbitrary graded Lie groups.
  The results are presented within the setting of the global symbolic calculus
on graded Lie groups by using the Fourier analysis associated to every graded
Lie group which extends the usual one due to H\"ormander on $\mathbb{R}^n$. The
main result extends the classical Fefferman's sharp theorem on the
$L^p$-boundedness of pseudo-differential operators for H\"ormander classes on
$\mathbb{R}^n$ to general graded Lie groups, also adding the borderline
$\rho=\delta$ case.

1
The categories of this paper are: cs
18
The categories of this paper are: econ
23
The categories of this paper are: solv-int
8
The categories of this paper are: hep-ex
20
The categories of this paper are: acc-phys
22
The categories of this paper are: chao-dyn
9
The categories of this paper are: nlin
36
The categories of this paper are: cmp-lg
16
The categories of this paper are: stat
4
The categories of this paper are: cond-mat
34
The categories of this paper are: chem-ph
12
The categories of this paper are: nucl-th
7
The categories of this paper are: hep-th
29
The categories of this paper are: funct-an
32
The categories of this paper are: atom-ph
11
The categories of this paper are: hep-lat