C-半群概率表示的Shisha-Mond型估计

The Shisha-Mond Type Estimation for Probabilistic Representations Formulas of C-Semigroups

应用经典逼近论中Skisha-Mond量化估计方法,研究Banach空间上C-半群概率表示式的量化估计,建立相应的Shisha-Mond型定理。

Let C be an injective linear operators on a Banach space. The strongly continuous family {S(t) |t≥0} of boanded linear operators on is a C-semigroups. The Shisha-Mond type quantitative estimation for probabilistic representation formulas of C-semigroups {S(t)|t≥0} is obtained.