In this paper, firstly, the p order and pz order of Dirichlet series which converges in the whole plane are studied. Secondly, the equivalence relation between remainder logarithm In En-1 （f, α）, In Rn（f, α） and...In this paper, firstly, the p order and pz order of Dirichlet series which converges in the whole plane are studied. Secondly, the equivalence relation between remainder logarithm In En-1 （f, α）, In Rn（f, α） and coefficients logarithm In ｜an｜ is discussed respectively. Finally, the theory of applying remainder to estimate ρorder and ρβ order can be obtained by using the equivalence relation.展开更多
Suppose that X is a complex Banach space with the norm ||·|| and n is a positive integer with dim X ≥n≥ 2. In this paper,we consider the generalized Roper-Suffridge extension operator Φn,β2,γ2,...,βn+1,γn+...Suppose that X is a complex Banach space with the norm ||·|| and n is a positive integer with dim X ≥n≥ 2. In this paper,we consider the generalized Roper-Suffridge extension operator Φn,β2,γ2,...,βn+1,γn+1(f) on the domain Ωp1,p2,...,pn+1 defined by展开更多
基金Supported by the National Natural Science Foundation of China(11171119)Supported by the National Science Foundation of Jiangxi Province(20122BAB211005,2010GQS0103)
文摘In this paper, firstly, the p order and pz order of Dirichlet series which converges in the whole plane are studied. Secondly, the equivalence relation between remainder logarithm In En-1 （f, α）, In Rn（f, α） and coefficients logarithm In ｜an｜ is discussed respectively. Finally, the theory of applying remainder to estimate ρorder and ρβ order can be obtained by using the equivalence relation.
基金supported by the Doctoral Foundation of Ministry of Education of China (Grant No. 20050574002)the Natural Science Foundation of Fujian Province of China (Grant No. 2009J01007)
文摘Suppose that X is a complex Banach space with the norm ||·|| and n is a positive integer with dim X ≥n≥ 2. In this paper,we consider the generalized Roper-Suffridge extension operator Φn,β2,γ2,...,βn+1,γn+1(f) on the domain Ωp1,p2,...,pn+1 defined by
