Norms of some operators on bounded symmetric domains

作者：Stevic Stevo^*

来源：Applied Mathematics and Computation, 2010, 216(1): 187-191.

DOI：10.1016/j.amc.2010.01.030

• Multiplication operator
• Weighted composition operator
• Weighted Bergman space
• Operator norm
• Bounded symmetric domain

Let D be a bounded symmetric domain, H(D) the class of all holomorphic functions on D and u is an element of H(D). Operator norm of the multiplication operator on the weighted Bergman space A(alpha)(p)(D), as well as of weighted composition operator from A(alpha)(p)(D) to a weighted-type space are calculated.

• 出版日期2010-3-1