科研之友
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摘要
This paper uses frame techniques to characterize the Schatten class properties of integral operators. The main result shows that if the coefficients {< k, Phi(m,n)>} of certain frame expansions of the kernel k of an integral operator are in l(2,) (p), then the operator is Schatten p-class. As a corollary, we conclude that if the kernel or Kohn-Nirenberg symbol of a pseudodifferential operator lies in a particular mixed modulation space, then the operator is Schatten p-class. our corollary improves existing Schatten class results for pseudodifferential operators and the corollary is sharp in the sense that larger mixed modulation spaces yield operators that are not Schatten class.
- 出版日期2010-3-1
