Let B be a Banach space in UMD with an unconditional basis. The boundedness of the θ (t)_type singular integral operators in L p B(R n),(1≤p<+∞) and H 1 B(R n) spaces are discussed.
By using the weighted versions of Journe's covering lemma and its extension to highetdimensions, this paper contributes an atomic decomposition theorem for the weighted H^p(0<p≤1)spaces on product domains, get...By using the weighted versions of Journe's covering lemma and its extension to highetdimensions, this paper contributes an atomic decomposition theorem for the weighted H^p(0<p≤1)spaces on product domains, gets a vector value for the index of the moment conditions whichextends the corresponding result in the case with one--parameter to the case with arbitrarynumber of parameters and solves the problem proposed by S. Y. A. Chang &R. Fefferman.展开更多
In this paper, the authors discuss a class of multilinear singular integralsand obtain that the operators are bounded from H^1 (R^n) to weak L^1 (R^n). Using this result, wecan directly prove a main theorem in [5].
文摘Let B be a Banach space in UMD with an unconditional basis. The boundedness of the θ (t)_type singular integral operators in L p B(R n),(1≤p<+∞) and H 1 B(R n) spaces are discussed.
基金Project aupported by the National Natural Science Foundation of China.
文摘By using the weighted versions of Journe's covering lemma and its extension to highetdimensions, this paper contributes an atomic decomposition theorem for the weighted H^p(0<p≤1)spaces on product domains, gets a vector value for the index of the moment conditions whichextends the corresponding result in the case with one--parameter to the case with arbitrarynumber of parameters and solves the problem proposed by S. Y. A. Chang &R. Fefferman.
基金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 discuss a class of multilinear singular integralsand obtain that the operators are bounded from H^1 (R^n) to weak L^1 (R^n). Using this result, wecan directly prove a main theorem in [5].
