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

Author: David Swanson
Journal: Proc. Amer. Math. Soc. 130 (2002), 1655-1659
MSC (2000): Primary 46E35
DOI: https://doi.org/10.1090/S0002-9939-02-06458-4
Published electronically: January 28, 2002
MathSciNet review: 1887038
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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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