Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: F. Wiener's trick and an extremal problem for $H^p$   For $0<p \leq \infty$, let $H^p$ denote the classical Hardy space of the unit
disc. We consider the extremal problem of maximizing the modulus of the $k$th
Taylor coefficient of a function $f \in H^p$ which satisfies $\|f\|_{H^p}\leq1$
and $f(0)=t$ for some $0 \leq t \leq 1$. In particular, we provide a complete
solution to this problem for $k=1$ and $0<p<1$. We also study F. Wiener's
trick, which plays a crucial role in various coefficient-related extremal
problems for Hardy spaces.

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The categories of this paper are: patt-sol
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The categories of this paper are: dg-ga
4
The categories of this paper are: cond-mat
28
The categories of this paper are: alg-geom
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The categories of this paper are: q-alg
9
The categories of this paper are: nlin
18
The categories of this paper are: econ
36
The categories of this paper are: cmp-lg
15
The categories of this paper are: nucl-ex
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The categories of this paper are: acc-phys
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The categories of this paper are: math-ph
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The categories of this paper are: q-fin
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The categories of this paper are: supr-con
6
The categories of this paper are: astro-ph
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The categories of this paper are: ao-sci
7
The categories of this paper are: hep-th