Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Two-weight Norm Inequalities for Local Fractional Integrals on Gaussian
  Measure Spaces   In this paper, the authors establish the two-weight boundedness of the local
fractional maximal operators and local fractional integrals on Gaussian measure
spaces associated with the local weights. More precisely, the authors first
obtain the two-weight weak-type estimate for the local-$a$ fractional maximal
operators of order $\alpha$ from $L^{p}(v)$ to $L^{q,\infty}(u)$ with $1\leq
p\leq q<\infty$ under a condition of $(u,v)\in \bigcup_{b'>a}
A_{p,q,\alpha}^{b'}$, and then obtain the two-weight weak-type estimate for the
local fractional integrals. In addition, the authors obtain the two-weight
strong-type boundedness of the local fractional maximal operators under a
condition of $(u,v)\in\mathscr{M}_{p,q,\alpha}^{6a+9\sqrt{d}a^2}$ and the
two-weight strong-type boundedness of the local fractional integrals. These
estimates are established by the radialization method and dyadic approach.

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The categories of this paper are: q-bio
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The categories of this paper are: chem-ph
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The categories of this paper are: cs
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The categories of this paper are: econ
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The categories of this paper are: solv-int
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The categories of this paper are: ao-sci
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The categories of this paper are: math-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: nucl-th
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The categories of this paper are: nucl-ex
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The categories of this paper are: eess
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The categories of this paper are: astro-ph
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The categories of this paper are: funct-an
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The categories of this paper are: cond-mat
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The categories of this paper are: atom-ph
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The categories of this paper are: hep-ph