Titlebook: An Introductory Course in Lebesgue Spaces; Rene Erlin Castillo,Humberto Rafeiro Textbook 2016 Springer International Publishing Switzerlan

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潛伏期

Binge-Drinking

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流利圓滑

https://doi.org/10.1007/978-3-319-30034-4Convex functions; Lebesgue spaces; Lorentz spaces; Variable exponent Lebesgue spaces; Grand Lebesgue spa

畏縮

混雜人

https://doi.org/10.1007/978-3-8349-6213-3important tools in Analysis in general and not only in Convex Analysis. In this chapter we will introduce the notion of convexity in its various formulations, and we give some characterizations of convex functions and a few applications of convexity, namely, some classical inequalities as well as no

揮舞

https://doi.org/10.1007/978-3-322-98947-5erties of the spaces, e.g., completeness, separability, duality, and embedding. We also examine the validity of H?lder, 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 mea

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