In this paper, the authors consider a class of maximal multilinear singular integral operators and maximal multilinear oscillatory singular integral operators with standard Calderón-Zygmund kernels, and obtain t...In this paper, the authors consider a class of maximal multilinear singular integral operators and maximal multilinear oscillatory singular integral operators with standard Calderón-Zygmund kernels, and obtain their boundedness on L^p（R^n） for 1 〈 p 〈 ∞.展开更多
Let A be an expansive dilation. We define weakly strongly singular integral kernels and study the action of the operators induced by these kernels on anisotropic Hardy spaces associated with A.
基金Research supported by Professor Xu Yuesheng's Research Grant in the program of "One hundred Distinguished Young Scientists" of the Chinese Academy of Sciences
文摘In this paper, the authors consider a class of maximal multilinear singular integral operators and maximal multilinear oscillatory singular integral operators with standard Calderón-Zygmund kernels, and obtain their boundedness on L^p（R^n） for 1 〈 p 〈 ∞.
基金supported by NSF of China (Grant No.10571015)RFDP of China (Grant No.20050027025)NSF of Zhejiang Province (Grant No.Y7080325)
文摘Let A be an expansive dilation. We define weakly strongly singular integral kernels and study the action of the operators induced by these kernels on anisotropic Hardy spaces associated with A.
