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中文摘要：
基于L-p空间是一类可分的Banach空间所具备的特点，定义了L-p空间上的l^p-框架、Banach框架。Hilbert空间的框架具有很多好的性质，根据L-p空间与hilbert空间的一些近似性，推广hilbert空间的框架理论给出了L-p空间上的框架性质，并讨论了Banach框架与p-Riesz基的关系。
英文摘要：
L-p spaces are kinds of separable Banach space. Banach frame and l^P-frame in L-p spaces are defined with L-p spaces＇ characteristics. The nice properties of frames in Hilbert spaces have been discovered. In light of the similarity between L-p spaces and Hilbert spaces, we have explored the properties of l^P-frame and Banach frame in L-p spaces and given a discussion of the relation between Banach frame and P-Riesz basis in this paper.
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