Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Fractional, Maximal and Singular Operators in Variable Exponent Lorentz
  Spaces   We introduce the Lorentz space $\mathcal{L}^{p(\cdot), q(\cdot)}$ with
variable exponents $p(t),q(t)$ and prove the boundedness of singular integral
and fractional type operators, and corresponding ergodic operators in these
spaces. The main goal of the paper is to show that the boundedness of these
operators in the spaces $\mathcal{L}^{p(\cdot), q(\cdot)}$ is possible without
the local log-condition on the exponents, typical for the variable exponent
Lebesgue spaces; instead the exponents $p(s)$ and $q(s)$ should only satisfy
decay conditions of log-type as $s\to 0$ and $s\to\infty$. To prove this, we
base ourselves on the recent progress in the problem of the validity of Hardy
inequalities in variable exponent Lebesgue spaces.

12
The categories of this paper are: nucl-th
9
The categories of this paper are: nlin
15
The categories of this paper are: nucl-ex
14
The categories of this paper are: math-ph
10
The categories of this paper are: q-bio
5
The categories of this paper are: gr-qc
11
The categories of this paper are: hep-lat
7
The categories of this paper are: hep-th
31
The categories of this paper are: ao-sci
19
The categories of this paper are: eess
27
The categories of this paper are: comp-gas
36
The categories of this paper are: cmp-lg
3
The categories of this paper are: physics
26
The categories of this paper are: bayes-an
23
The categories of this paper are: solv-int
37
The categories of this paper are: supr-con