WebOn the Musielak-Orlicz-Gauss image problem Qingzhong Huang, Sudan Xing, Deping Ye, Baocheng Zhu Subjects: Metric Geometry (math.MG); Analysis of PDEs (math.AP); Functional Analysis (math.FA) [15] arXiv:2105.04363 [ pdf, ps, other] Globally rigid graphs are fully reconstructible Dániel Garamvölgyi, Steven J. Gortler, Tibor Jordán Webing the Musielak–Orlicz functions and some inequalities relating them. Chapter 3 deals with standard results of Musielak–Orlicz (function) spaces. In this chapter, the Luxemburg, Orlicz and Amemiya norms are introduced. We show that the Musielak–Orlicz space is complete with respect to any of these norm, which are equivalent.
Advanced Nonlinear Studies Volume 23 Issue 1
WebThe Musielak-Orlicz-Gauss image measure of Ω ∈ K is defined as follows. I ∪ Cd, and λis a nonzero finite Borel measure on Sn. Denote by ψ= zΨ z. Let CeΘ(Ω,·) be the … Webon the corresponding Orlicz space. On the other hand, the functional ˆ M, de ned on LM [0;1] by ˆ M(f) = M 1(R 1 0 M(f)d ), not only fails to be a norm in most cases, but frequently it is not even a reasonable approximation to the Orlicz norm. In memoriam W ladys law Orlicz 1. Although many characteristics of the Lp-spaces, p 1, are shared by by15151
[PDF] General volumes in the Orlicz–Brunn–Minkowski theory and …
Web1 de fev. de 2024 · DOI: 10.1007/S00526-019-1657-2 Corpus ID: 213288477; General volumes in the Orlicz–Brunn–Minkowski theory and a related Minkowski problem II @article{Gardner2024GeneralVI, title={General volumes in the Orlicz–Brunn–Minkowski theory and a related Minkowski problem II}, author={Richard J. Gardner and Daniel Hug … Webimage processing, and [9,10] for double phase variational problems. In this paper, we aim to give a general version of the boundedness of maximal and Riesz potential operators on Musielak–Orlicz spaces over bounded metric measure spaces equipped with lower Ahlfors Q(x)-regular measures which are nondoubling measures, as an extension of [24,33]. WebThe Musielak-Orlicz-Gauss image problem contains many intensively studied Minkowski type problems and the recent Gauss image problem as its special cases. Under the condition that $G$ is decreasing on its second variable, the existence of solutions to this problem is established. Menu Log inSign up OverviewCitations (1)References (59) … by150p led76s cw psu he sy120 fg gr