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Complex interpolation of Herz‐type Triebel–Lizorkin spaces
Author(s) -
Drihem Douadi
Publication year - 2018
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.201700266
Subject(s) - mathematics , interpolation space , interpolation (computer graphics) , type (biology) , lp space , birnbaum–orlicz space , pure mathematics , mathematical analysis , functional analysis , artificial intelligence , computer science , banach space , image (mathematics) , ecology , biochemistry , chemistry , biology , gene
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 ∞ , β s . Moreover, we apply these results to obtain the complex interpolation of Triebel–Lizorkin spaces equipped with power weights and between b m o (or h p ) spaces and Herz spaces.