A Note on Complex Interpolation of Quasi-Banach Function Spaces

2024/12/17 by Moritz Egert, Egert, Moritz, Benjamin W. Kosmala +1 · 1 citation
Mathematics · #Advanced Banach Space Theory #Algebraic and Geometric Analysis #Differential Equations and Boundary Problems

paper · pdf · doi:10.48550/arxiv.2412.12769

Abstract

Kalton and Mitrea characterized complex interpolation spaces of quasi-Banach function spaces as Calderón products if both interpolants are separable. We show that one separability assumption may be omitted and establish a Wolff-reiteration result with one non-separable endpoint space.

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