Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Homogeneous kernerls and self similar sets   We consider singular integrals associated to homogeneous kernels on self
similar sets. Using ideas from ergodic theory we prove, among other things,
that in Euclidean spaces the principal values of singular integrals associated
to real analytic, homogeneous kernels fail to exist a.e. on self similar sets
satisfying some separation conditions. Furthermore in general metric groups,
using similar techniques, we generalize a criterion of $L^2$-unboundedness for
singular integrals on self similar sets.

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The categories of this paper are: hep-ph
19
The categories of this paper are: eess
33
The categories of this paper are: plasm-ph
26
The categories of this paper are: bayes-an
34
The categories of this paper are: chem-ph
1
The categories of this paper are: cs
13
The categories of this paper are: quant-ph
7
The categories of this paper are: hep-th
31
The categories of this paper are: ao-sci
4
The categories of this paper are: cond-mat
11
The categories of this paper are: hep-lat
30
The categories of this paper are: q-alg
27
The categories of this paper are: comp-gas
36
The categories of this paper are: cmp-lg
21
The categories of this paper are: adap-org
14
The categories of this paper are: math-ph