A remark on Calderón-Zygmund classes and Sobolev spaces

Swanson, David

doi:10.1090/S0002-9939-02-06458-4

A remark on Calderón-Zygmund classes and Sobolev spaces
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by David Swanson

Proc. Amer. Math. Soc. 130 (2002), 1655-1659

DOI: https://doi.org/10.1090/S0002-9939-02-06458-4

Published electronically: January 28, 2002

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Abstract:

We show how the Sobolev space $W^{k,p}(\mathbf {R}^n)$ may be characterized in terms of the local behavior of its members. We use the local $T^{k,p}$-classes introduced by Calderón and Zygmund.

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