Maximal Inequalities for Additive Processes

2011 ◽  
Vol 25 (4) ◽  
pp. 981-1012
Author(s):  
Michael J. Klass ◽  
Ming Yang
2021 ◽  
Vol 1 ◽  
pp. 2057-2066
Author(s):  
Nicola Viktoria Ganter ◽  
Behrend Bode ◽  
Paul Christoph Gembarski ◽  
Roland Lachmayer

AbstractOne of the arguments against an increased use of repair is that, due to the constantly growing progress, an often already outdated component would be restored. However, refurbishment also allows a component to be modified in order to upgrade it to the state of the art or to adapt it to changed requirements. Many existing approaches regarding Design for Upgradeability are based on a modular product architecture. In these approaches, however, only the upgradeability of a product is considered through the exchange of components. Nevertheless, the exchange and improvement of individual component regions within a refurbishment has already been successfully carried out using additive processes. In this paper, a general method is presented to support the reengineering process, which is necessary to refurbish and upgrade a damaged component. In order to identify which areas can be replaced in the closed system of a component, the systematics of the modular product architecture are used. This allows dependencies between functions and component regions to be identified. Thus, it possible to determine which functions can be integrated into the intended component.


2009 ◽  
Vol 29 (2) ◽  
pp. 402-408 ◽  
Author(s):  
Ren Yanbo ◽  
Hou Youliang

Stochastics ◽  
2013 ◽  
Vol 86 (1) ◽  
pp. 147-185 ◽  
Author(s):  
Stéphane Goutte ◽  
Nadia Oudjane ◽  
Francesco Russo

2015 ◽  
Vol 58 (2) ◽  
pp. 432-448 ◽  
Author(s):  
Dachun Yang ◽  
Sibei Yang

AbstractLet be a magnetic Schrödinger operator on ℝn, wheresatisfy some reverse Hölder conditions. Let be such that ϕ(x, ·) for any given x ∊ ℝn is an Orlicz function, ϕ( ·, t) ∊ A∞(ℝn) for all t ∊ (0,∞) (the class of uniformly Muckenhoupt weights) and its uniformly critical upper type index . In this article, the authors prove that second-order Riesz transforms VA-1 and are bounded from the Musielak–Orlicz–Hardy space Hµ,A(Rn), associated with A, to theMusielak–Orlicz space Lµ(Rn). Moreover, we establish the boundedness of VA-1 on . As applications, some maximal inequalities associated with A in the scale of Hµ,A(Rn) are obtained


2019 ◽  
Vol 146 ◽  
pp. 139-146 ◽  
Author(s):  
Paavo Salminen ◽  
Lioudmila Vostrikova
Keyword(s):  

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