Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Regularity of harmonic functions for anisotropic fractional Laplacian   We prove that bounded harmonic functions of anisotropic fractional Laplacians
are H\"older continuous under mild regularity assumptions on the corresponding
L\'evy measure. Under some stronger assumptions the Green function, Poisson
kernel and the harmonic functions are even differentiable of order up to three.

29
The categories of this paper are: funct-an
6
The categories of this paper are: astro-ph
5
The categories of this paper are: gr-qc
36
The categories of this paper are: cmp-lg
25
The categories of this paper are: patt-sol
4
The categories of this paper are: cond-mat
28
The categories of this paper are: alg-geom
37
The categories of this paper are: supr-con
17
The categories of this paper are: q-fin
33
The categories of this paper are: plasm-ph
18
The categories of this paper are: econ
20
The categories of this paper are: acc-phys
11
The categories of this paper are: hep-lat
3
The categories of this paper are: physics
35
The categories of this paper are: mtrl-th
8
The categories of this paper are: hep-ex