ATOMIC DECOMPOSITIONS FOR OPERATORS IN REPRODUCING KERNEL HILBERT SPACES

作者：Gavruta Laura^*

来源：Mathematical Reports, 2015, 17(3): 303-314.

• frames
• atomic systems
• Bergman spaces
• reproducing kernel
• Fock spaces

In this paper, we give some results concerning atomic decompositions for operators on reproducing kernel Hilbert spaces, using frame theory techniques. We provide also generalizations for atomic decompositions of some theorems for reproducing kernel Hilbert spaces.
In particular, we obtain atomic decomposition results for operators on Bergman spaces and Fock spaces in a simple manner.

• 出版日期2015