American Mathematical Society;Providence, Rhode Island: American Mathematical Society
摘要:
摘要： We study the Hardy spaces HFpH^p_{\mathcal {F}} associated with a family F\mathcal {F} of sections which is closely related to the Monge-Ampère equation. We characterize the dual spaces of HFpH^p_{\mathcal {F}}, which can be realized as Carleson measure spaces, Campanato spaces, and Lipschitz spaces. Also the equivalence between the characterization of the Littlewood-Paley gg-function and atomic decomposition for HFpH^p_{\mathcal {F}} is obtained. Then we prove that Monge-Ampère singular operators are bounded from HFpH^p_{\mathcal {F}} into LμpL^p_\mu and bounded on both HFpH^p_{\mathcal {F}} and their dual spaces. 其他題名： Trans. Amer. Math. Soc 出版者： Providence, Rhode Island: American Mathematical Society 出版日期： 2016-05-01 出處： Transactions of the American Mathematical Society, 2016-05, Vol.368 (5), p.3075-3104 資源來源： JSTOR Arts and Sciences I 版權： Copyright 2015 American Mathematical Society 版權： 2016 American Mathematical Society 識別號： ISSN: 0002-9947 識別號： EISSN: 1088-6850 識別號： DOI: 10.1090/tran/6397
