Geodesic
Calderón–Zygmund operators acting on generalized Carleson measure spaces
Chin-Cheng Lin 1   ; Kunchuan Wang 2
1 No. 13, Lane 158, Sec. 1, Daxiang St. Chung-Li, Taiwan 320 Republic of China
2 Department of Applied Mathematics National Dong Hwa University Hua-Lien, Taiwan 974 Republic of China
Studia Mathematica, Tome 211 (2012) no. 3, pp. 231-240 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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We study Calderón–Zygmund operators acting on generalized Carleson measure spaces ${\rm CMO}^{\alpha ,q}_r$ and show a necessary and sufficient condition for their boundedness. The spaces ${\rm CMO}^{\alpha ,q}_r$ are a generalization of ${\rm BMO}$, and can be regarded as the duals of homogeneous Triebel–Lizorkin spaces as well.
DOI : 10.4064/sm211-3-4
Keywords: study calder zygmund operators acting generalized carleson measure spaces cmo alpha necessary sufficient condition their boundedness spaces cmo alpha generalization bmo regarded duals homogeneous triebel lizorkin spaces

Chin-Cheng Lin  1   ; Kunchuan Wang  2

1 No. 13, Lane 158, Sec. 1, Daxiang St. Chung-Li, Taiwan 320 Republic of China
2 Department of Applied Mathematics National Dong Hwa University Hua-Lien, Taiwan 974 Republic of China 
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     title = {Calder\'on{\textendash}Zygmund operators acting on generalized {Carleson} measure spaces},
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Chin-Cheng Lin; Kunchuan Wang. Calderón–Zygmund operators acting on generalized Carleson measure spaces. Studia Mathematica, Tome 211 (2012) no. 3, pp. 231-240. doi: 10.4064/sm211-3-4

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