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arXiv · 1711.05528

Intermediate and extrapolated spaces for bi-continuous semigroups

Christian Budde·Bálint Farkas
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Abstract

We discuss the construction of the full Sobolev (H\"older) scale for non-densely defined operators on a Banach space with rays of minimal growth. In particular, we give a construction for extrapolation- and Favard spaces of generators of (bi-continuous) semigroups, or which is essentially the same, Hille-Yosida operators on Saks spaces.

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Christian Budde, Bálint Farkas. 2017-11-15. Intermediate and extrapolated spaces for bi-continuous semigroups. https://doi.org/10.1007/s00028-018-0477-8

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