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Regular wavelets and Triebel‐Lizorkin type oscillation spaces
Authors:Pengtao Li  Qixiang Yang  Kai Zhao
Affiliation:1. School of Mathematics and Statics, Qingdao University, Qingdao, Shandong, China;2. School of Mathematics and Statics, Wuhan University, Wuhan, China
Abstract:In this paper, we apply wavelets to study the Triebel‐Lizorkin type oscillation spaces urn:x-wiley:mma:media:mma4482:mma4482-math-0001 and identify them with the well‐known Triebel‐Lizorkin‐Morrey spaces. Further, we prove that Calderón‐Zygmund operators are bounded on urn:x-wiley:mma:media:mma4482:mma4482-math-0002.
Keywords:Calderó  n‐Zygmund operators  regular wavelets  Triebel‐Lizorkin type oscillation spaces
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