论文标题
财产的变化(a)常数和lebesgue型不平等现象的弱点贪婪算法
Variations of Property (A) Constants and Lebesgue-type Inequalities for the Weak Thresholding Greedy Algorithms
论文作者
论文摘要
Albiac和Wojtaszczyk引入了财产(a),以$ 1 $ - 绿色的基础。后来,Dilworth等。将该概念概括为$ c $ -property(a),其中情况$ c = 1 $提供了属性(a)。他们(除其他结果)以无条件的性和$ c $ - property(a)为特征。在本文中,我们将所谓的A-Property常数的定义扩展到(a,$τ$) - 属性常数,并使用扩展名来获得各种Lebesgue参数的新估计值。此外,我们研究(a,$τ$)之间的关系 - $τ$变化时的财产常数和其他众所周知的常数。
Albiac and Wojtaszczyk introduced property (A) to characterize $1$-greedy bases. Later, Dilworth et al. generalized the concept to $C$-property (A), where the case $C = 1$ gives property (A). They (among other results) characterized greedy bases by unconditionality and $C$-property (A). In this paper, we extend the definition of the so-called A-property constant to (A,$τ$)-property constants and use the extension to obtain new estimates for various Lebesgue parameters. Furthermore, we study the relation among (A,$τ$)-property constants and other well-known constants when $τ$ varies.