Hardy spaces associated with different homogeneities and boundedness of composition operators

Please use this identifier to cite or link to this item: https://ir.lib.ncu.edu.tw/handle/987654321/109225

Title:	Hardy spaces associated with different homogeneities and boundedness of composition operators
Authors:	林欽誠;Han, Yongsheng;Lin, Chincheng;Lu, Guozhen;Ruan, Zhuoping;Sawyer, Eric
Contributors:	理學院數學系
Keywords:	Fourier analysis
Date:	2013-12-01
Issue Date:	2026-04-23 16:16:36 (UTC+8)
Publisher:	Universidad Autonoma de Madrid;Zuerich, Switzerland: European Mathematical Society Publishing House
Abstract:	摘要： It is well known that standard Calderón–Zygmund singular integral operators with isotropic and nonisotropic homogeneities are bounded on the classical $H^p(\mathbb{R}^m)$ and nonisotropic $H^p_{h}(\mathbb{R}^m),$ respectively. In this paper, we develop a new Hardy space theory and prove that the composition of two Calderón–Zygmund singular integral operators with different homogeneities is bounded on this new Hardy space. Such a Hardy space has a multiparameter structure associated with the underlying mixed homogeneities arising from the two singular integral operators under consideration. The Calderón–Zygmund decomposition and an interpolation theorem hold on these new Hardy spaces. 其他題名： Rev. Mat. Iberoamericana 出版者： Zuerich, Switzerland: European Mathematical Society Publishing House 出版日期： 2013-01-01 出處： Revista matemática iberoamericana, 2013-01, Vol.29 (4), p.1127-1157 版權： European Mathematical Society (from 2012) 版權： COPYRIGHT 2013 European Mathematical Society Publishing House 識別號： ISSN: 0213-2230 識別號： ISSN: 2235-0616 識別號： EISSN: 2235-0616 識別號： DOI: 10.4171/RMI/751
Appears in Collections:	[Department of Mathematics] journal & Dissertation

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