Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A new look at Krzyz's conjecture   Recently the author has presented a new approach to solving extremal problems
of geometric function theory. It involves the Bers isomorphism theorem for
Teichmuller spaces of punctured Riemann surfaces.
  We show here that this approach, combined with quasiconformal theory, can be
also applied to nonvanishing holomorphic functions from $H^\infty$. In
particular this gives a proof of an old open Krzyz conjecture for such
functions and of its generalizations.
  The unit ball $H_1^\infty$ of $H^\infty$ is naturally embedded into the
universal Teichmuller space, and the functions $f \in H_1^\infty$ are regarded
as the Schwarzian derivatives of univalent functions in the unit disk.

12
The categories of this paper are: nucl-th
19
The categories of this paper are: eess
20
The categories of this paper are: acc-phys
26
The categories of this paper are: bayes-an
13
The categories of this paper are: quant-ph
24
The categories of this paper are: dg-ga
5
The categories of this paper are: gr-qc
32
The categories of this paper are: atom-ph
31
The categories of this paper are: ao-sci
36
The categories of this paper are: cmp-lg
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The categories of this paper are: solv-int
21
The categories of this paper are: adap-org
11
The categories of this paper are: hep-lat
16
The categories of this paper are: stat
14
The categories of this paper are: math-ph
15
The categories of this paper are: nucl-ex