Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A.e. convergence and 2-weight inequalities for Poisson-Laguerre
  semigroups   We find optimal decay estimates for the Poisson kernels associated with
various Laguerre-type operators L. From these, we solve two problems about the
Poisson semigroup $e^{-t\sqrt{L}}$. First, we find the largest space of initial
data $f$ so that $e^{-t\sqrt{L}}f(x)\to f(x)$ at a.e. $x$. Secondly, we
characterize the largest class of weights $w$ which admit 2-weight inequalities
of the form $\|\sup_{0<t\leq t_0}|e^{-t\sqrt{L}}f|\,\|_{L^p(v)}\lesssim
\|f\|_{L^p(w)}$, for some other weight $v$.

36
The categories of this paper are: cmp-lg
18
The categories of this paper are: econ
33
The categories of this paper are: plasm-ph
10
The categories of this paper are: q-bio
23
The categories of this paper are: solv-int
13
The categories of this paper are: quant-ph
21
The categories of this paper are: adap-org
16
The categories of this paper are: stat
29
The categories of this paper are: funct-an
0
The categories of this paper are: hep-ph
35
The categories of this paper are: mtrl-th
31
The categories of this paper are: ao-sci
17
The categories of this paper are: q-fin
8
The categories of this paper are: hep-ex
15
The categories of this paper are: nucl-ex
32
The categories of this paper are: atom-ph