Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Estimates for multilinear commutators of generalized fractional integral
  operators on weighted Morrey spaces   Let $L$ be the infinitesimal generator of an analytic semigroup on
$L^2(\mathbb{R}^n)$ with Gaussian kernel bounds, and let $L^{-\alpha/2}$ be the
fractional integrals of $L$ for $0<\alpha<n$. Assume that
$\vec{b}=(b_1,b_2,\cdots,b_m)$ is a finite family of locally integrable
functions, then the multilinear commutators generated by $\vec{b}$ and
$L^{-\alpha/2}$ is defined by \begin{equation*}
L_{\vec{b}}^{-\alpha/2}f=[b_m,\cdots,[b_2,[b_1,L^{-\alpha/2}]],\cdots,]f
\end{equation*} when $b_j\in BMO(w)$, $j=1,2,\cdots,m$, the authors obtain the
boundedness of $L_{\vec{b}}^{-\alpha/2}$ on weighted Morrey spaces.

22
The categories of this paper are: chao-dyn
34
The categories of this paper are: chem-ph
33
The categories of this paper are: plasm-ph
29
The categories of this paper are: funct-an
16
The categories of this paper are: stat
28
The categories of this paper are: alg-geom
37
The categories of this paper are: supr-con
30
The categories of this paper are: q-alg
8
The categories of this paper are: hep-ex
18
The categories of this paper are: econ
7
The categories of this paper are: hep-th
24
The categories of this paper are: dg-ga
21
The categories of this paper are: adap-org
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The categories of this paper are: solv-int
14
The categories of this paper are: math-ph
13
The categories of this paper are: quant-ph