Results 31 to 40 of about 4,657,157 (233)

Orlicz Mean Dual Affine Quermassintegrals

open access: yesJournal of Function Spaces, 2018
Our main aim is to generalize the mean dual affine quermassintegrals to the Orlicz space. Under the framework of dual Orlicz-Brunn-Minkowski theory, we introduce a new affine geometric quantity by calculating the first Orlicz variation of the mean dual ...
Chang-Jian Zhao, Wing-Sum Cheung
doaj   +1 more source

Orlicz-Aleksandrov-Fenchel Inequality for Orlicz Multiple Mixed Volumes

open access: yesJournal of Function Spaces, 2018
Our main aim is to generalize the classical mixed volume V(K1,…,Kn) and Aleksandrov-Fenchel inequality to the Orlicz space. In the framework of Orlicz-Brunn-Minkowski theory, we introduce a new affine geometric quantity by calculating the Orlicz first ...
Chang-Jian Zhao
doaj   +1 more source

Embedding theorems in the fractional Orlicz-Sobolev space and applications to non-local problems [PDF]

open access: yesDiscrete and Continuous Dynamical Systems. Series A, 2019
In the present paper, we deal with a new continuous and compact embedding theorems for the fractional Orlicz-Sobolev spaces, also, we study the existence of infinitely many nontrivial solutions for a class of non-local fractional Orlicz-Sobolev ...
S. Bahrouni, H. Ounaies
semanticscholar   +1 more source

Orlicz Generalized Difference Sequence Space and the Linked Pre-Quasi Operator Ideal

open access: yesJournal of Mathematics, 2020
In this article, the necessary conditions on s-type Orlicz generalized difference sequence space to generate an operator ideal have been examined. Therefore, the s-type Orlicz generalized difference sequence space which fails to generate an operator ...
Awad A. Bakery, OM Kalthum S. K. Mohamed
doaj   +1 more source

N-Tuples of weighted noncommutative Orlicz space and some geometrical properties

open access: yesOpen Mathematics, 2022
In this article, we present a new concept named the N-tuples weighted noncommutative Orlicz space ⊕j=1nLp,λ(Φj)(ℳ˜,τ){\oplus }_{j=1}^{n}{L}_{p,\lambda }^{\left({\Phi }_{j})}\left(\widetilde{{\mathcal{ {\mathcal M} }}},\tau ), where L(Φj)(ℳ˜,τ){L}^{\left({
Bo Liu   +4 more
doaj   +1 more source

The Daugavet property in the Musielak-Orlicz spaces

open access: yes, 2014
We show that among all Musielak-Orlicz function spaces on a $\sigma$-finite non-atomic complete measure space equipped with either the Luxemburg norm or the Orlicz norm the only spaces with the Daugavet property are $L_1$, $L_{\infty}$, $L_1\oplus_1 L_ ...
Kamińska, Anna, Kubiak, Damian
core   +1 more source

Leray-Schauder’s solution for a nonlocal problem in a fractional Orlicz-Sobolev space

open access: yesMoroccan Journal of Pure and Applied Analysis, 2020
Via Leray-Schauder’s nonlinear alternative, we obtain the existence of a weak solution for a nonlocal problem driven by an operator of elliptic type in a fractional Orlicz-Sobolev space, with homogeneous Dirichlet boundary conditions.
A. Boumazourh, M. Srati
semanticscholar   +1 more source

S*-ORLICZ LATTICE

open access: yesJournal of Kufa for Mathematics and Computer, 2010
In this paper, we review here some of the ideas we have encountered in Orlicz function and define S*- Orlicz lattice. We have proved that S*-Orlicz space (X, ||.||F) is a normed S*-Vector Lattice, complete and therefore, it's a Banach S*-Vector Lattice.
Falah Hasan Sarhan   +1 more
doaj   +1 more source

Weighted Hardy operators in local generalized Orlicz-Morrey spaces

open access: yesKarpatsʹkì Matematičnì Publìkacìï, 2021
In this paper, we find sufficient conditions on general Young functions $(\Phi, \Psi)$ and the functions $(\varphi_1,\varphi_2)$ ensuring that the weighted Hardy operators $A_\omega^\alpha$ and ${\mathcal A}_\omega^\alpha$ are of strong type from a local
C. Aykol, Z.O. Azizova, J.J. Hasanov
doaj   +1 more source

Intrinsic Structures of Certain Musielak-Orlicz Hardy Spaces

open access: yes, 2017
For any $p\in(0,\,1]$, let $H^{\Phi_p}(\mathbb{R}^n)$ be the Musielak-Orlicz Hardy space associated with the Musielak-Orlicz growth function $\Phi_p$, defined by setting, for any $x\in\mathbb{R}^n$ and $t\in[0,\,\infty)$, $$ \Phi_{p}(x,\,t):= \begin ...
Cao, Jun   +3 more
core   +1 more source

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