Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the consequences of a Mihlin-H\"ormander functional calculus: maximal
  and square function estimates   We prove that the existence of a Mihlin-H\"ormander functional calculus for
an operator $L$ implies the boundedness on $L^p$ of both the maximal operators
and the continuous square functions build on spectral multipliers of $L.$ The
considered multiplier functions are finitely smooth and satisfy an integral
condition at infinity. In particular multipliers of compact support are
admitted.

35
The categories of this paper are: mtrl-th
31
The categories of this paper are: ao-sci
24
The categories of this paper are: dg-ga
20
The categories of this paper are: acc-phys
14
The categories of this paper are: math-ph
22
The categories of this paper are: chao-dyn
5
The categories of this paper are: gr-qc
34
The categories of this paper are: chem-ph
16
The categories of this paper are: stat
8
The categories of this paper are: hep-ex
6
The categories of this paper are: astro-ph
37
The categories of this paper are: supr-con
18
The categories of this paper are: econ
25
The categories of this paper are: patt-sol
10
The categories of this paper are: q-bio
12
The categories of this paper are: nucl-th