Complex interpolation of Herz‐type Triebel–Lizorkin spaces

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...

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Veröffentlicht in:	Mathematische Nachrichten 2018-09, Vol.291 (13), p.2008-2023
1. Verfasser:	Drihem, Douadi
Format:	Artikel
Sprache:	eng
Schlagworte:	46B70 46E35 bmo space Calderón product complex interpolation Herz space Interpolation Triebel–Lizorkin space
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description	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.
doi_str_mv	10.1002/mana.201700266
format	Article
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subjects	46B70 46E35 bmo space Calderón product complex interpolation Herz space Interpolation Triebel–Lizorkin space
title	Complex interpolation of Herz‐type Triebel–Lizorkin spaces
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