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Boundedness of fractional integrals in Hardy spaces with non-doubling measure

✍ Scribed by Wengu G. Chen; Yixin X. Lai

Publisher: Springer
Year: 2006
Tongue: English
Weight: 125 KB
Volume: 22
Category: Article
ISSN: 1573-8175
DOI: 10.1007/bf03218712

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## Abstract Let __μ__ be a Radon measure on ℝ^__d__^ which may be non doubling, and let __H__ ^1^(__μ__) be the Hardy space associated with __μ__ introduced by Tolsa. In this paper, a new atomic characterization of __H__ ^1^(__μ__) is established. Some applications of this characterization are als