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Regular wavelets and Triebel‐Lizorkin type oscillation spaces
Author(s) -
Li Pengtao,
Yang Qixiang,
Zhao Kai
Publication year - 2017
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.4482
Subject(s) - mathematics , wavelet , type (biology) , oscillation (cell signaling) , bounded function , bounded mean oscillation , pure mathematics , mathematical analysis , artificial intelligence , computer science , ecology , genetics , biology
In this paper, we apply wavelets to study the Triebel‐Lizorkin type oscillation spacesF ˙p , qγ 1 , γ 2( R n ) and identify them with the well‐known Triebel‐Lizorkin‐Morrey spaces. Further, we prove that Calderón‐Zygmund operators are bounded onF ˙p , qγ 1 , γ 2( R n ) .
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