Abstract.
We prove a general atomic decomposition theorem for weighted vector-valued Bergman spaces, which applies to duality problems and to the study of compact Toeplitz type operators.
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Constantin, O. Discretizations of Integral Operators and Atomic Decompositions in Vector-Valued Weighted Bergman Spaces. Integr. equ. oper. theory 59, 523–554 (2007). https://doi.org/10.1007/s00020-007-1536-7
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DOI: https://doi.org/10.1007/s00020-007-1536-7