Supported by the NNSF of China (10671115);Grants from Specialized Research Fund for the Doctoral Program of Higher Education(20060560002);NSF of Guangdong Province( 06105648)
supported by National Natural Science Foundation of China (Grant Nos.10371069, 10671115);National Science Foundation of Guangdong Province, China (Grant Nos. 04011000,06105648)
If f(z) =Σ∞ n=0 anzn and g(z) =Σ∞n=0bnzn for functions f, g are analytic in the unit disc, the Hadamard products of f and g is defined by f * g = ∞ n=0 a n b n z n . In this paper, the Lipschitz spaces Λ(s, α) ...
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)
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 ope...
Supported by NSF of China (10671115);; RFDP of China (20060560002);; NSF of Guangdong Province of China (06105648)
The author gives a mild integral condition in a nondecreasing function K : [0, ∞) → [0, ∞), which is sufficient and the best possible to ensure that f is a Bloch function if and only if f belongs to QK, a Mbius-i...
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)
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 op...
Supported by NSF of China (10671115);RFDP of China (20060560002);NSF of Guangdong Province of China (06105648)
The author gives a mild integral condition in a nondecreasing function K : [0, ∞) → [0, ∞), which is sufficient and the best possible to ensure that f is a Bloch function if and only if f belongs to QK, a Mbius-inv...