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Traces of weighted function spaces: dyadic norms and Whitney extensions by Koskela, Pekka; Soto, Tomás; Wang, Zhuang is a scholarly article available to read on EtoBox.

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The trace spaces of Sobolev spaces and related fractional smoothness spaces have been an active area of research since the work of Nikolskii, Aronszajn, Slobodetskii, Babich and Gagliardo among others in the 1950's. In this paper we review the literature concerning such results for a variety of weighted smoothness spaces. For this purpose, we present a characterization of the trace spaces (of fractional order of smoothness), based on integral averages on dyadic cubes, which is well adapted to extending functions using the Whitney extension operator.

Author

Koskela, Pekka; Soto, Tomás; Wang, Zhuang

Published

2017

Language

EN