Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Fractional operators on weighted Morrey spaces   A necessary condition and a sufficient condition for one weight norm
inequalities on Morrey spaces to hold are given for the fractional maximal
operator and the fractional integral operator. We clarify the difference
between the behavior of the fractional maximal operator and the one of the
fractional integral operator which is originated from the structure of Morrey
spaces. Both the necessary condition and the sufficient condition are also
verified for the power weights.

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The categories of this paper are: hep-ex
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The categories of this paper are: nlin
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The categories of this paper are: astro-ph
1
The categories of this paper are: cs
12
The categories of this paper are: nucl-th
36
The categories of this paper are: cmp-lg
13
The categories of this paper are: quant-ph
11
The categories of this paper are: hep-lat
33
The categories of this paper are: plasm-ph
22
The categories of this paper are: chao-dyn
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The categories of this paper are: stat
30
The categories of this paper are: q-alg
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The categories of this paper are: dg-ga
37
The categories of this paper are: supr-con
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The categories of this paper are: math-ph
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The categories of this paper are: q-bio