Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Singular integral operators with kernels associated to negative powers
  of real-analytic functions   Given a real-analytic function b(x) defined on a neighborhood of the origin
with b(0) = 0, we consider local convolutions with kernels which are bounded by
|b(x)|^(-a), where a > 0 is the smallest number for which |b(x)|^(-a) is not
integrable on any neighborhood of the origin. Under appropriate first
derivative bounds and a cancellation condition, we prove L^p boundedness
theorems for such operators including when the kernel is not integrable. We
primarily (but not exclusively) consider the p = 2 situation. The operators
considered generalize both local versions of Riesz transforms and some local
multiparameter singular integrals. Generalizations of our results to
nontranslation-invariant versions as well as singular Radon transform versions
are also proven.

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The categories of this paper are: chem-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: cmp-lg
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The categories of this paper are: adap-org
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The categories of this paper are: q-alg
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The categories of this paper are: eess
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The categories of this paper are: math-ph
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The categories of this paper are: solv-int
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The categories of this paper are: atom-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: funct-an
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The categories of this paper are: plasm-ph
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The categories of this paper are: q-bio
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The categories of this paper are: physics
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The categories of this paper are: hep-lat