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Calderón-Zygmund Operators on the Predual of a Morrey Space

✍ Scribed by Yasuo Komori


Publisher
Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
Year
2003
Tongue
English
Weight
147 KB
Volume
19
Category
Article
ISSN
1439-7617

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Calderón–Zygmund operators on Herz type
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We consider the boundedness of Calderón-Zygmund operators from H Kα,p q (R n ) to h Kα,p q (R n ), where H Kα,p q (R n ) is the Hardy space associated with the Herz space Kα,p q (R n ) and h Kα,p q (R n ) is the local version of H Kα,p q (R n ). We show Calderón's commutator is bounded from H Kα,p q

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## Abstract We consider generalized Calderón–Zygmund operators whose kernel takes values in the space of all continuous linear operators between two Banach spaces. In the spirit of the __T__ (1) theorem of David and Journé we prove boundedness results for such operators on vector‐valued Besov space