Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Moment estimates for L\'{e}vy Processes   For real L\'{e}vy processes $(X\_t)\_{t \geq 0}$ having no Brownian component
with Blumenthal-Getoor index $\beta$, the estimate $\E \sup\_{s \leq t} | X\_s
- a\_p s |^p \leq C\_p t$ for every $t \in [0,1]$ and suitable $a\_p \in \R$
has been established by Millar \cite{MILL} for $\beta < p \leq 2$ provided
$X\_1 \in L^p$. We derive extensions of these estimates to the cases $p > 2$
and $p \leq\beta$.

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The categories of this paper are: astro-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: chem-ph
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The categories of this paper are: gr-qc
1
The categories of this paper are: cs
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The categories of this paper are: econ
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The categories of this paper are: supr-con
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The categories of this paper are: bayes-an
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The categories of this paper are: funct-an
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The categories of this paper are: q-alg
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The categories of this paper are: hep-ex
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The categories of this paper are: plasm-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: physics
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The categories of this paper are: comp-gas