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Triebel-Lizorkin sequence spaces are genuine mixed-norm spaces

✍ Scribed by Dan Brigham; Dorina Mitrea; Irina Mitrea; Marius Mitrea

Publisher: John Wiley and Sons
Year: 2012
Tongue: English
Weight: 231 KB
Volume: 286
Category: Article
ISSN: 0025-584X
DOI: 10.1002/mana.201100184

No coin nor oath required. For personal study only.

✦ Synopsis

Abstract

We show that the Triebel‐Lizorkin sequence spaces are, in an appropriate context, genuine mixed‐norm spaces, then use this identification together with the general machinery developed in conjunction with the latter scale of spaces to establish interpolation, duality, factorization, and other functional analytic properties of the Triebel‐Lizorkin spaces.

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