Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quasiconformal distortion of Hausdorff measures   In this paper we prove that if f is a planar K-quasiconformal map and 0<t<2,
t' = 2t/(2K-Kt+t), then f transforms sets of finite (t')-Hausdorff measure into
sets of finite t-Hausdorff measure. We also prove the following more
quantitative statement: If E is a planar set, then H^t(E) \leq C(K)
H^{t'}(f(E))^{t/(t'K)}, where H^s stands for the s-Hausdorff measure.

29
The categories of this paper are: funct-an
25
The categories of this paper are: patt-sol
11
The categories of this paper are: hep-lat
26
The categories of this paper are: bayes-an
34
The categories of this paper are: chem-ph
27
The categories of this paper are: comp-gas
32
The categories of this paper are: atom-ph
4
The categories of this paper are: cond-mat
6
The categories of this paper are: astro-ph
17
The categories of this paper are: q-fin
28
The categories of this paper are: alg-geom
37
The categories of this paper are: supr-con
19
The categories of this paper are: eess
22
The categories of this paper are: chao-dyn
0
The categories of this paper are: hep-ph
10
The categories of this paper are: q-bio