共查询到18条相似文献,搜索用时 314 毫秒
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叶以宁 《数学年刊A辑(中文版)》1983,(4)
无穷维Banach空间的填球问题近三十年来取得了一系列引人注目的结果。L_p和l_p空间的装球值A_M已相继被求出。对Orlicz函数空间和Orlicz序列空间,Cleaver C.E.在1976年给出了取值范围。本文将给出Orlicz序列空间l_M的准确值。 相似文献
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给出赋Luxemburg范数的Orlicz空间上支撑映射上(下)半连续的判别准则。 相似文献
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《应用泛函分析学报》2016,(2)
本文研究了一种修正的Shepard-Lagrange型插值算子在Orlicz空间内的逼近性质,证明了它在Orlicz空间内的有界性,利用光滑模、Hardy-Littlewood极大函数、N函数的凸性及Jensen不等式给出了该算子在Orlicz空间内的逼近度估计. 相似文献
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本文研究了赋Luxemburg范数广义Orlicz序列空间的(J)非方点.通过分析、综合经典Orlicz空间与广义Orlicz空间的结构,给出了用生成函数表达该性质的充分必要条件.该结果不仅推广了经典空间的结果,也是十分好用的. 相似文献
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Criteria for nearly strict convexity of Musielak-Orlicz-Bochner function spaces equipped with the Luxemburg norm are given. We also prove that, in Musielak-Orlicz-Bochner function spaces generated by strictly convex Banach space, nearly strict convexity and strict convexity are equivalent. 相似文献
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A Kamińska 《Journal of Functional Analysis》1983,50(3):285-305
H. Milnes gave in (Pacific J. Math. 18 (1957), 1451–1483) a criterion for strict convexity of Orlicz spaces with respect to the so called Orlicz norm, in the case of nonatomic measure and a usual Young function. Here there are presented necessary and sufficient conditions for strict convexity of Orlicz-Musielak spaces (J. Musielak and W. Orlicz, Studia Math. 18 (1957), 49–65) with Orlicz norm in the case of purely atomic measure. For sequence Orlicz-Musielak spaces with Luxemburg norm, such a criterion is given in (A. Kami
ska, Bull. Acad. Polon. Sci. Sér. Sci. Math. Astronom. Phys. 29 (1981), 137–144). 相似文献
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Estimates for the moduli of noncompact convexity of lp-sums and real interpolation spaces for finite families of spaces are given. It is proved that such an interpolation preserves nearly uniform convexity and property (β). 相似文献
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N. Herrndorf 《Probability Theory and Related Fields》1980,53(3):283-290
Summary Orlicz spaces and Prediction Operators in these spaces have been investigated by M.M. Rao in a number of well known papers. Since these papers are widely recognized as pioneering work in this field, it seems worth while to point out that some of his main results and many of his proofs are false. In particular M.M. Rao's result on strict convexity of Orlicz spaces and his proofs of convergence theorems for prediction sequences are false. 相似文献
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In Hudzik and Landes, the convexity coefficient of Musielak–Orlicz function spaces over a non-atomic measure space equipped with the Luxemburg norm is computed whenever the Musielak–Orlicz functions are strictly convex see [6]. In this paper, we extend this result to the case of Musielak–Orlicz spaces equipped with the Orlicz norm. Also, a characterization of uniformly convex Musielak–Orlicz function spaces as well as k-uniformly convex Musielak–Orlicz spaces equipped with the Orlicz norm is given. 相似文献