Complex interpolation of Herz‐type Triebel–Lizorkin spaces

Douadi Drihem

Mathematische Nachrichten, 2018, vol. 291, issue 13, 2008-2023

Abstract: We study complex interpolation of Herz‐type Triebel–Lizorkin spaces by using the Calderón product method. Additionally we present complex interpolation between Herz‐type Triebel–Lizorkin spaces and Triebel–Lizorkin spaces F∞,βs. Moreover, we apply these results to obtain the complex interpolation of Triebel–Lizorkin spaces equipped with power weights and between bmo (or hp) spaces and Herz spaces.

Date: 2018
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https://doi.org/10.1002/mana.201700266

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