论文标题
Hardy和Bergman空间的集成运营商
Integration operators on Hardy and Bergman spaces
论文作者
论文摘要
在目前的工作中,我们对紧凑的集成运营商感兴趣 $ i_g f(z)= \ int_0^z f(ζ)g'(ζ)dζ$作用于耐力空间$ h^2 $和加权的伯格曼空间$ \ mathcal {a}^2_α$。我们给出$ i_g $的单数值的上和下部估计。
In the present work, we are interested in compact integration operators $I_g f(z) = \int_0^z f(ζ)g'(ζ)dζ$ acting on the Hardy space $H^2$ and on the weighted Bergman spaces $\mathcal{A}^2_α$. We give upper and lower estimates for the singular values of $I_g$.