Schatten class weighted composition operators on weighted Fock spaces

作者：Mengestie Tesfa^*

来源：Archiv der Mathematik, 2013, 101(4): 349-360.

DOI：10.1007/s00013-013-0568-2

• Fock-Sobolev space
• Weighted Fock spaces
• Carleson measures
• Toeplitz operator
• Schatten class membership

We describe the Schatten class weighted composition operators on Fock-Sobolev spaces and a large class of weighted Fock spaces, where the weights defining such spaces are radial, decay at least as fast as the classical Gaussian weight, and satisfy certain mild smoothness condition. To prove our main results, we characterize the Schatten class membership of the Toeplitz operators T (mu) induced by nonnegative measures mu on the complex space C-n.

• 出版日期2013-10