In this paper we study the coefficient multipliers, pointwise multipliers and cyclic vectors in the Bloch type spaces B^! and little Bloch type spaces $B^\alpha_0$ for 0 < ! < X. We give several full characteriz...In this paper we study the coefficient multipliers, pointwise multipliers and cyclic vectors in the Bloch type spaces B^! and little Bloch type spaces $B^\alpha_0$ for 0 < ! < X. We give several full characterizations of the coefficient multipliers (B^!, B^#) and ($B^\alpha_0,$ $B^\beta_0$) for 0 < !, # < X and pointwise multipliers M (B^!, B^#) and M ($B^\alpha_0,$ $B^\beta_0$) for 1 p !, # ] (0, X). We also obtain some properties of cyclic vectors for Bloch type spaces.展开更多
We identify the functions whose polynomial multiples are weak＊ dense in Qp spaces and prove that if ｜f（z）｜ ≥ ｜g（z）｜ and g is cyclic in Qp, then f is cyclic in Qp. We also show that the multiplication operato...We identify the functions whose polynomial multiples are weak＊ dense in Qp spaces and prove that if ｜f（z）｜ ≥ ｜g（z）｜ and g is cyclic in Qp, then f is cyclic in Qp. We also show that the multiplication operator Mx on Qp spaces is cellular indecomposable.展开更多
In this paper, two problems about composition operator on Hardy space are considered. Firstly, a new estimation of the norm of a class of composition operators is given. Secondly, the cyclic behavior of the adjoint op...In this paper, two problems about composition operator on Hardy space are considered. Firstly, a new estimation of the norm of a class of composition operators is given. Secondly, the cyclic behavior of the adjoint operator of a composition operator is discussed.展开更多
We prove that the Koszul modules over an exterior algebra can be filtered by the cyclic Koszul modules. We also introduce the cyclic dimension vector as invariants for studying the Koszul modules over an exterior alge...We prove that the Koszul modules over an exterior algebra can be filtered by the cyclic Koszul modules. We also introduce the cyclic dimension vector as invariants for studying the Koszul modules over an exterior algebra.展开更多
文摘In this paper we study the coefficient multipliers, pointwise multipliers and cyclic vectors in the Bloch type spaces B^! and little Bloch type spaces $B^\alpha_0$ for 0 < ! < X. We give several full characterizations of the coefficient multipliers (B^!, B^#) and ($B^\alpha_0,$ $B^\beta_0$) for 0 < !, # < X and pointwise multipliers M (B^!, B^#) and M ($B^\alpha_0,$ $B^\beta_0$) for 1 p !, # ] (0, X). We also obtain some properties of cyclic vectors for Bloch type spaces.
基金supported by NNSF of China (10771130)Specialized Research Fund for the Doctoral Program of High Education (2007056004)+1 种基金NSF of GuangdongProvince (10151503101000025)NSF of Fujian Province (2009J01004)
文摘We identify the functions whose polynomial multiples are weak＊ dense in Qp spaces and prove that if ｜f（z）｜ ≥ ｜g（z）｜ and g is cyclic in Qp, then f is cyclic in Qp. We also show that the multiplication operator Mx on Qp spaces is cellular indecomposable.
基金This research is supported by the NNSF of China (10401027)
文摘In this paper, two problems about composition operator on Hardy space are considered. Firstly, a new estimation of the norm of a class of composition operators is given. Secondly, the cyclic behavior of the adjoint operator of a composition operator is discussed.
基金NSFC#10371036,SRFDP#200505042004 the Cultivation Fund of the Key ScientificTechnical Innovation Project #21000115 of the Ministry of Education of China
文摘We prove that the Koszul modules over an exterior algebra can be filtered by the cyclic Koszul modules. We also introduce the cyclic dimension vector as invariants for studying the Koszul modules over an exterior algebra.
