Generalized carleson measure spaces and their applications

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題名:	Generalized carleson measure spaces and their applications
作者:	林欽誠;Lin, Chin-Cheng;Wang, Kunchuan
貢獻者:	理學院數學系
日期:	2012-07-16
上傳時間:	2026-04-23 16:16:17 (UTC+8)
出版者:	Hindawi Publishing Corporation;New York: Hindawi Limiteds
摘要:	摘要： We introduce the generalized Carleson measure spaces CMOrα,q that extend BMO. Using Frazier and Jawerth's φ-transform and sequence spaces, we show that, for α∈ℝ and 0<p≤1, the duals of homogeneous Triebel-Lizorkin spaces Ḟpα,q for 1<q<∞ and 0<q≤1 are CMO(q′/p)-(q′/q)-α,q′ and CMOr-α+(n/p)-n,∞ (for any r∈ℝ), respectively. As applications, we give the necessary and sufficient conditions for the boundedness of wavelet multipliers and paraproduct operators acting on homogeneous Triebel-Lizorkin spaces. 出版者： New York: Hindawi Limiteds 出版日期： 2012-01-01 出處： Abstract and Applied Analysis, 2012-01, Vol.2012 (1), p.272-297-718 資源來源： Journals學術期刊資料庫(原CEPS) 版權： Copyright © 2012 Chin-Cheng Lin and Kunchuan Wang. 版權： Copyright © 2012 Chin-Cheng Lin and Kunchuan Wang. Chin-Cheng Lin et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. 版權： Copyright 2012 Hindawi Publishing Corporation 識別號： ISSN: 1085-3375 識別號： ISSN: 1687-0409 識別號： EISSN: 1687-0409 識別號： DOI: 10.1155/2012/879073
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