| GENERALIZED HILBERT OPERATOR AND FEJR-RIESZ TYPE INEQUALITIES ON THE POLYDISC |
| |
| 引用本文： | 李颂孝,Stevo,Stevi.GENERALIZED HILBERT OPERATOR AND FEJR-RIESZ TYPE INEQUALITIES ON THE POLYDISC[J].数学物理学报(B辑英文版),2009(1). |
| |
| 作者姓名： | 李颂孝 Stevo Stevi |
| |
| 基金项目： | Supported by the NNSF of China(10671115);; grants from Specialized Research Fund for the doctoral program of Higher Education(20060560002);; NSF of Guangdong Province(7300614) |
| |
| 摘 要： | Let f be a holomorphic function on the unit polydisc Dn,with Taylor expansion f(z) = ∞ |k|=0 akzk ≡∞ (k1+···+kn=0) (ak1,···,kn zk1 1znkn)where k = (k1, , kn) ∈ Z+n. The authors define generalized Hilbert operator on Dn by Hγ,n(f)(z) = ∞ |k|=0 i1,···,in≥0 ai1,···,in n j=1 Γ(γj + kj + 1)Γ(kj + ij + 1) Γ(kj + 1)Γ(kj + ij + γj + 2) zk,where γ∈ Cn, such that R γj > -1, j = 1, 2, , n. An upper bound for the norm of the operator on Hardy spaces Hp(Dn) is found. The authors also present a Fejér-Riesz type inequalit...
|
| 关 键 词： | Generalized Hilbert operator Fejé r-Riesz inequality a-Bloch space |
| 本文献已被 维普 等数据库收录！ |
|
