四川大学学报（自然科学版）2000，Vol.37Issue(3)：320-324,5.
Hankel算子的范数及H10(T2)的分解
NORM OF HANKEL OPERATOR AND THE DECOMPOSITION OF FUNCTIONS IN H10(T2)
摘要
Abstract
The author obtained the norm of little Hankel operator on Polydisk D2 = D × D , that is: [[ Hψ [dis (ψ,H∞ L∞(T)+L∞ H∞(T)) . Combining with the classical dual relationship, the author also obtained the decomposition of functions in H10(T2),that is: f ∈H10(T2),there exist functional sequences {Fi}∞1, {Gi}∞1∈ H2(T2) . St f = ∑∞FiGi. This series of functions converge to f1 in H1(T2) norm.关键词
小Hankel算子/正交投影算子/对偶关系/勒贝格测度Key words
little Hankel operator/orthogonal project operator/dual relationship/Lebesgue measure分类
数理科学引用本文复制引用
郭训香..Hankel算子的范数及H10(T2)的分解[J].四川大学学报（自然科学版）,2000,37(3):320-324,5.
