Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Lengths, areas and Lipschitz-type spaces of planar harmonic mappings   In this paper, we establish a three circles type theorem, involving the
harmonic area function, for harmonic mappings. Also, we give bounds for length
and area distortion for harmonic quasiconformal mappings. Finally, we will
study certain Lipschitz-type spaces on harmonic mappings.

20
The categories of this paper are: acc-phys
36
The categories of this paper are: cmp-lg
7
The categories of this paper are: hep-th
32
The categories of this paper are: atom-ph
25
The categories of this paper are: patt-sol
1
The categories of this paper are: cs
31
The categories of this paper are: ao-sci
18
The categories of this paper are: econ
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
3
The categories of this paper are: physics
24
The categories of this paper are: dg-ga
5
The categories of this paper are: gr-qc
35
The categories of this paper are: mtrl-th
6
The categories of this paper are: astro-ph