We characterize the functions f for which the superposition operator T-f (g) := f o g acts in the Holder-Zygmund spaces B-infinity,infinity(s) (R-n) and in the spaces BMO(R-n), VMO(R-n), CMO(R-n). Further we study the continuity and the differentiability of T-f in those various function spaces.
机构:Guangzhou University,School of Mathematics and Information Science and Key Laboratory of Mathematics and Interdisciplinary Sciences of the Guangdong Higher Education Institute
Xiaofeng Wang
Guangfu Cao
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机构:Guangzhou University,School of Mathematics and Information Science and Key Laboratory of Mathematics and Interdisciplinary Sciences of the Guangdong Higher Education Institute
Guangfu Cao
Kehe Zhu
论文数: 0引用数: 0
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机构:Guangzhou University,School of Mathematics and Information Science and Key Laboratory of Mathematics and Interdisciplinary Sciences of the Guangdong Higher Education Institute
Kehe Zhu
The Journal of Geometric Analysis,
2015,
25
: 1650
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1665