Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Stability in p of the H-infinity calculus of first-order systems in L^p   We study certain differential operators of the form AD arising from a
first-order approach to the Kato square root problem. We show that if such
operators are R-bisectorial in L^p, they remain R-bisectorial in L^q for all q
close to p. In combination with our earlier results with Portal, which required
such R-bisectoriality in different L^q spaces to start with, this shows that
the R-bisectoriality in just one L^p actually implies bounded H-infinity
calculus in L^q for all q close to p. We adapt the approach to related
second-order results developed by Auscher, Hofmann and Martell, and also employ
abstract extrapolation theorems due to Kalton and Mitrea.

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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: bayes-an
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The categories of this paper are: atom-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: q-bio
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The categories of this paper are: plasm-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: physics
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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: astro-ph
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The categories of this paper are: cs
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The categories of this paper are: hep-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: alg-geom