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A truncated real interpolation method and characterizations of screened Sobolev spaces by Stevenson, Noah; Tice, Ian is a scholarly article available to read on EtoBox.

What is A truncated real interpolation method and characterizations of screened Sobolev spaces about?

In this paper we prove structural and topological characterizations of the screened Sobolev spaces with screening functions bounded below and above by positive constants. We generalize a method of interpolation to the case of seminormed spaces. This method, which we call the truncated method, generates the screened Sobolev subfamily and a more general screened Besov scale. We then prove that the screened Besov spaces are equivalent to the sum of a Lebesgue space and a homogeneous Sobolev space and provide a Littlewood-Paley frequency space characterization.

Author
Stevenson, Noah; Tice, Ian
Published
2020
Language
EN

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