Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Commutators of Riesz potential in the vanishing generalized weighted
  Morrey spaces with variable exponent   Let $\Omega \subset \mathbb{R}^n$ be an unbounded open set. We consider the
generalized weighted Morrey spaces
$\mathcal{M}^{p(\cdot),\varphi}_{\omega}(\Omega)$ and the vanishing generalized
weighted Morrey spaces $V\mathcal{M}^{p(\cdot),\varphi}_{\omega}(\Omega)$ with
variable exponent $p(x)$ and a general function $\varphi(x,r)$ defining the
Morrey-type norm. The main result of this paper are the boundedness of Riesz
potential and its commutators on the spaces
$\mathcal{M}^{p(\cdot),\varphi}_{\omega}(\Omega)$ and
$V\mathcal{M}^{p(\cdot),\varphi}_{\omega}(\Omega)$. This result generalizes
several existing results for Riesz potential and its commutators on Morrey type
spaces. Especially, it gives a unified result for generalized Morrey spaces and
variable Morrey spaces which currently gained a lot of attentions from
researchers in theory of function spaces.

31
The categories of this paper are: ao-sci
26
The categories of this paper are: bayes-an
6
The categories of this paper are: astro-ph
29
The categories of this paper are: funct-an
10
The categories of this paper are: q-bio
8
The categories of this paper are: hep-ex
24
The categories of this paper are: dg-ga
12
The categories of this paper are: nucl-th
17
The categories of this paper are: q-fin
16
The categories of this paper are: stat
0
The categories of this paper are: hep-ph
21
The categories of this paper are: adap-org
15
The categories of this paper are: nucl-ex
32
The categories of this paper are: atom-ph
11
The categories of this paper are: hep-lat
22
The categories of this paper are: chao-dyn