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- W1575965785 abstract "In this paper we show the weak Banach-Saks property of the Banach vector space $(L_mu^p)^m$ generated by $m$ $L_mu^p$-spaces for $1leq p<+infty,$ where $m$ is any given natural number. When $m=1,$ this is the famous Banach-Saks-Szlenk theorem. By use of this property, we also present inequalities for integrals of functions that are the composition of nonnegative continuous convex functions on a convex set of a vector space ${bf R}^m$ and vector-valued functions in a weakly compact subset of the space $(L_mu^p)^m$ for $1leq p<+infty$ and inequalities when these vector-valued functions are in a weakly* compact subset of the product space $(L_mu^infty)^m$ generated by $m$ $L_mu^infty$-spaces." @default.
- W1575965785 created "2016-06-24" @default.
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- W1575965785 date "2007-02-19" @default.
- W1575965785 modified "2023-09-27" @default.
- W1575965785 title "The weak Banach-Saks Property of the Space $(L_mu^p)^m$" @default.
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- W1575965785 hasPublicationYear "2007" @default.
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