Gateaux Differentiability of Bump Functions in Banach Spaces

R. Maleev; G. Nedev; B. Zlatanov

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Gateaux Differentiability of Bump Functions in Banach Spaces

机译：Banach空间中凹凸函数的Gateaux可微性

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摘要

Upper estimates for the order of Gateaux smoothness of bump functions in Orlicz spaces l_M(#GAMMA#) and Lorentz spaces d(w, p, #GAMMA#), #GAMMA# uncountable, are obtained.

机译：获得了在Orlicz空间l_M（＃GAMMA＃）和Lorentz空间d（w，p，#GAMMA＃），＃GAMMA＃不可数的凹凸函数的Gateaux平滑度阶数的上估计。

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来源
《Journal of Mathematical Analysis and Applications》 |1999年第2期|共13页
作者
R. Maleev; G. Nedev; B. Zlatanov;
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原文格式 PDF
正文语种 eng
中图分类数学;
关键词
Orlicz spaces; Lorentz spaces; smooth bump functions;

机译：Orlicz空间;Lorentz空间;平滑凹凸函数;

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专利

1. Gateaux Differentiability of Bump Functions in Banach Spaces [J] . R. Maleev, G. Nedev, B. Zlatanov Journal of Mathematical Analysis and Applications . 1999,第2期

机译：Banach空间中凹凸函数的Gateaux可微性
2. Upper estimates for Gateaux Differentiability of Bump Functions in Orlicz-Lorentz Spaces [J] . B. Zlatanov Journal of inequalities in pure and applied mathematics . 2007,第4期

机译：Orlicz-Lorentz空间中凸函数的Gateaux可微性的上估计
3. Gateaux Differentiability of Convex Functions and Weak Dentable Set in Nonseparable Banach Spaces [J] . Journal of Function Spaces . 2019,第1期

机译：不可分离的Banach空间中的凸起功能和弱凹陷组的Gateaux可分性
4. Surjective isometries on the Banach space of continuously differentiable functions [C] . Takeshi Miura, Hiroyuki Takagi Workshop on Problems and Recent Methods in Operator Theory . 2017

机译：在不断微弱的功能的Banach空间上的形状等异象
5. Weighted Composition Operators from Analytic Function Spaces into a Class of Weighted-type Banach Spaces [D] . Alyusof, Shams. 2020

机译：来自分析功能空间的加权组成算子进入一类加权型Banach空间
6. INTEGRAL REPRESENTATION OF LINEAR CONTINUOUS OPERATORS FROM THE SPACE OF LEBESGUE-BOCHNER SUMMABLE FUNCTIONS INTO ANY BANACH SPACE [O] . Witold M. Bogdanowicz 1965

机译：线性连续算子从Lebesgue-Bochner可加函数空间到任何Banach空间的积分表示
7. Bump functions and differentiability in Banach spaces [O] . D. J. Ives 2001

机译：Banach空间中的凹凸功能和可差异性

Gateaux Differentiability of Bump Functions in Banach Spaces

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