Atomic decomposition of Hardy spaces and characterization of BMO via Banach function spaces |
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| Authors: | Kwok-Pun Ho |
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| Affiliation: | 1. Department of Mathematics and Information Technology, The Hong Kong Institute of Education, 10, Lo Ping Road, Tai Po, Hong Kong, China
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| Abstract: | An atomic decomposition of Hardy spaces by atoms associated with Banach function space is developed. Inspired by these decompositions, a criterion on a general Banach function space is introduced so that the characterization of BMO by using that Banach function space is valid. |
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