Let T be the multiplier operator associated to a multiplier m, and [b, T] be the commutator generated by T and a BMO function b. In this paper, the authors have proved that [b,T] is bounded from the Hardy space H^1（...Let T be the multiplier operator associated to a multiplier m, and [b, T] be the commutator generated by T and a BMO function b. In this paper, the authors have proved that [b,T] is bounded from the Hardy space H^1（R^n） into the weak L^1 （R^n） space and from certain atomic Hardy space Hb^1 （R^n） into the Lebesgue space L^1 （R^n）, when the multiplier m satisfies the conditions of Hoermander type.展开更多
The present paper gives a Jackson type estimate for Nevai operators under weighted L^p norm, and establishes the direct and converse theorems in some proper Besov spaces
基金Supported by the Research Funds of Zhejiaug Sci-Tech University (No. 0313055-Y).
文摘Let T be the multiplier operator associated to a multiplier m, and [b, T] be the commutator generated by T and a BMO function b. In this paper, the authors have proved that [b,T] is bounded from the Hardy space H^1（R^n） into the weak L^1 （R^n） space and from certain atomic Hardy space Hb^1 （R^n） into the Lebesgue space L^1 （R^n）, when the multiplier m satisfies the conditions of Hoermander type.
基金Supported in part by National and Zhejiang Provincial Natural Science Foundations of China under grant numbers 10471130 and 101009 respectively.
文摘The present paper gives a Jackson type estimate for Nevai operators under weighted L^p norm, and establishes the direct and converse theorems in some proper Besov spaces
