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Triebel‐Lizorkin sequence spaces are genuine mixed‐norm spaces

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AbstractWe 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.
Title: Triebel‐Lizorkin sequence spaces are genuine mixed‐norm spaces
Description:
AbstractWe 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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