Calderón-Zygmund operators acting on generalized Carleson measure spaces

Chin-Cheng Lin; Kunchuan Wang

Studia Mathematica, Tome 209 (2012), p. 231-240 / Harvested from The Polish Digital Mathematics Library

Résumé

We study Calderón-Zygmund operators acting on generalized Carleson measure spaces $C M O_{r}^{α, q}$ and show a necessary and sufficient condition for their boundedness. The spaces $C M O_{r}^{α, q}$ are a generalization of BMO, and can be regarded as the duals of homogeneous Triebel-Lizorkin spaces as well.

Publié le : 2012-01-01

Zbl 1266.42036

EUDML-ID : urn:eudml:doc:285485

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     title = {Calder\'on-Zygmund operators acting on generalized Carleson measure spaces},
     journal = {Studia Mathematica},
     volume = {209},
     year = {2012},
     pages = {231-240},
     zbl = {1266.42036},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm211-3-4}
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Chin-Cheng Lin; Kunchuan Wang. Calderón-Zygmund operators acting on generalized Carleson measure spaces. Studia Mathematica, Tome 209 (2012) pp. 231-240. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm211-3-4/