Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Weighted Composition Operators Acting on Harmonic Hardy Spaces   Suppose $n\geq 3$ and let $B$ be the open unit ball in $\mathbb{R}^n$. Let
$\varphi: B\to B$ be a $C^2$ map whose Jacobian does not change sign, and let
$\psi$ be a $C^2$ function on $B$. We characterize bounded weighted composition
operators $W_{\varphi,\psi}$ acting on harmonic Hardy spaces $h^p(B)$. In
addition, we compute the operator norm of $W_{\varphi,\psi}$ on $h^p(B)$ when
$\varphi$ is a M\"obius transformation of $B$.

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The categories of this paper are: cmp-lg
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The categories of this paper are: mtrl-th
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The categories of this paper are: adap-org
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The categories of this paper are: chem-ph
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The categories of this paper are: supr-con
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The categories of this paper are: funct-an
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The categories of this paper are: nucl-ex
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The categories of this paper are: math-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: cond-mat
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The categories of this paper are: nlin
6
The categories of this paper are: astro-ph
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The categories of this paper are: stat
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The categories of this paper are: bayes-an
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The categories of this paper are: nucl-th
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The categories of this paper are: hep-ex