Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Some remarks on extrapolation with "flat" weights   We prove an extrapolation result for general operators under some weak
assumptions on the boundedness of the operator. In particular, we show that if
the operator is weakly bounded on some L^{p_{0}}(w), for all "flat" weights, w
in A_{p_{0}}, 1 < p_{0} <\infty, then for p in some small neighborhood around
p_{0}, and all "flat" A_{p} weights, w, the operator is weakly bounded on
L^{p}(w), and as a result we get strong type estimates for the operator.

16
The categories of this paper are: stat
32
The categories of this paper are: atom-ph
25
The categories of this paper are: patt-sol
36
The categories of this paper are: cmp-lg
27
The categories of this paper are: comp-gas
9
The categories of this paper are: nlin
33
The categories of this paper are: plasm-ph
29
The categories of this paper are: funct-an
24
The categories of this paper are: dg-ga
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The categories of this paper are: eess
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The categories of this paper are: alg-geom
0
The categories of this paper are: hep-ph
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The categories of this paper are: solv-int
18
The categories of this paper are: econ
35
The categories of this paper are: mtrl-th
37
The categories of this paper are: supr-con