Premium
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.
Accelerating Research
Robert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom
Address
John Eccles HouseRobert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom