In this paper, we study the mapping properties of singular integral operator along surfaces of revolution. We prove Lp bounds (1 < p < ∞) for such singular integral operators as well as for their corresponding ...In this paper, we study the mapping properties of singular integral operator along surfaces of revolution. We prove Lp bounds (1 < p < ∞) for such singular integral operators as well as for their corresponding maximal truncated singular integrals if the singular kernels are allowed to be in certain block spaces.展开更多
I. INTRODUCTIONIn Chang and Fefferman’s paper, they obtained atomic decomposition of H<sup>P</sup>（R<sub>+</sub><sup>2</sup>R<sub>2</sub><sup>+</sup>） spa...I. INTRODUCTIONIn Chang and Fefferman’s paper, they obtained atomic decomposition of H<sup>P</sup>（R<sub>+</sub><sup>2</sup>R<sub>2</sub><sup>+</sup>） spaces by use of p-atoms. For the same reason as in the classical upper half plane, they need some higher orders vanishing property of a p-atom展开更多
By means of vector-valued product Calderón-Zygmund operators and some subtle estimates,the boundedness in product Hardy spaces on R^n × R^m of Calderón-Zygmund operators introduced by J.L. Journé i...By means of vector-valued product Calderón-Zygmund operators and some subtle estimates,the boundedness in product Hardy spaces on R^n × R^m of Calderón-Zygmund operators introduced by J.L. Journé is established.展开更多
文摘In this paper, we study the mapping properties of singular integral operator along surfaces of revolution. We prove Lp bounds (1 < p < ∞) for such singular integral operators as well as for their corresponding maximal truncated singular integrals if the singular kernels are allowed to be in certain block spaces.
文摘I. INTRODUCTIONIn Chang and Fefferman’s paper, they obtained atomic decomposition of H<sup>P</sup>（R<sub>+</sub><sup>2</sup>R<sub>2</sub><sup>+</sup>） spaces by use of p-atoms. For the same reason as in the classical upper half plane, they need some higher orders vanishing property of a p-atom
基金Supported by NNSF of China(11301100)Specialized Research Fund for the Doctoral Program of Higher Education(20124410120002)+2 种基金Foundation for Distinguished Young Teachers in Higher Education of Guangdong Province(YQ2015126)Foundation for Young Innovative Talents in Higher Education of Guangdong(2014KQNCX111)Innovation Program of Higher Education of Guangdong(2015KTSCX105)
基金supported by the National Natural Science Foundation of China(10871025)
文摘By means of vector-valued product Calderón-Zygmund operators and some subtle estimates,the boundedness in product Hardy spaces on R^n × R^m of Calderón-Zygmund operators introduced by J.L. Journé is established.
