Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Riesz transform for a flow Laplacian on homogeneous trees   We obtain weak type $(1,1)$ and $L^p$ boundedness, for $p \in (1,\infty)$, of
the first order Riesz transform and its adjoint operator on a homogeneous tree
endowed with the canonical flow measure. This is a model case of measure metric
space which is nondoubling, of exponential growth, does not satisfy the Cheeger
isoperimetric inequality, and where the Laplacian does not have spectral gap.
This complements a previous work by W. Hebisch and T. Steger.

8
The categories of this paper are: hep-ex
33
The categories of this paper are: plasm-ph
28
The categories of this paper are: alg-geom
14
The categories of this paper are: math-ph
18
The categories of this paper are: econ
13
The categories of this paper are: quant-ph
16
The categories of this paper are: stat
1
The categories of this paper are: cs
36
The categories of this paper are: cmp-lg
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The categories of this paper are: bayes-an
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The categories of this paper are: solv-int
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The categories of this paper are: chao-dyn
9
The categories of this paper are: nlin
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The categories of this paper are: eess
4
The categories of this paper are: cond-mat
31
The categories of this paper are: ao-sci