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- W2485152584 abstract "In this chapter, we will introduce the so-called Lebesgue sequence spaces, in the finite and also in the infinite dimensional case. We study some properties of the spaces, e.g., completeness, separability, duality, and embedding. We also examine the validity of Holder, Minkowski, Hardy, and Hilbert inequality which are related to the aforementioned spaces. Although Lebesgue sequence spaces can be obtained from Lebesgue spaces using a discrete measure, we will not follow that approach and will prove the results in a direct manner. This will highlight some techniques that will be used in the subsequent chapters." @default.
- W2485152584 created "2016-08-23" @default.
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- W2485152584 date "2016-01-01" @default.
- W2485152584 modified "2023-09-27" @default.
- W2485152584 title "Lebesgue Sequence Spaces" @default.
- W2485152584 cites W2069528055 @default.
- W2485152584 doi "https://doi.org/10.1007/978-3-319-30034-4_2" @default.
- W2485152584 hasPublicationYear "2016" @default.
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