Results 31 to 40 of about 4,657,157 (233)
Orlicz Mean Dual Affine Quermassintegrals
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
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Orlicz-Aleksandrov-Fenchel Inequality for Orlicz Multiple Mixed Volumes
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
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Embedding theorems in the fractional Orlicz-Sobolev space and applications to non-local problems [PDF]
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
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Orlicz Generalized Difference Sequence Space and the Linked Pre-Quasi Operator Ideal
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
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N-Tuples of weighted noncommutative Orlicz space and some geometrical properties
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
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The Daugavet property in the Musielak-Orlicz spaces
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
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Leray-Schauder’s solution for a nonlocal problem in a fractional Orlicz-Sobolev space
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
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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
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Weighted Hardy operators in local generalized Orlicz-Morrey spaces
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
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Intrinsic Structures of Certain Musielak-Orlicz Hardy Spaces
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
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