Hardy spaces associated with different homogeneities and boundedness of composition operators

Yongsheng Han, Chincheng Lin, Guozhen Lu, Zhuoping Ruan, Eric T. Sawyer

研究成果: 雜誌貢獻期刊論文同行評審

26 引文 斯高帕斯(Scopus)

摘要

It is well known that standard Calderón-Zygmund singular integral operators with isotropic and nonisotropic homogeneities are bounded on the classical Hp(ℝm) and nonisotropic Hh p(ℝm), 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.

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頁(從 - 到)1127-1157
頁數31
期刊Revista Matematica Iberoamericana
29
發行號4
DOIs
出版狀態已出版 - 2013

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