加权Bergman空间上小Hankel算子的Schatten类

Schatten Class of Small Hankel Operators on Weighted Bergman Spaces

讨论了Cn中有界对称域的加权Bergman空间上符号属于L2 a(Ω,dVλ)的小Hankel算子,利用符号Φ的某种积分变换。

The small Hankel operators on weighted Bergman spaces of bounded symmetric domains Ω in C+n with symbols in L+2(Ω, dV-λ) are studied. Characterizations for the membership in the Schatten classes of the small Hankel operators h-Φ are presented in terms of a certain integral transform of the symbol Φ.