Results 61 to 70 of about 6,527 (212)
Linear isomorphic spaces of fractional-order difference operators
In the present paper, we intend to make an approach to introduce and study the applications of fractional-order difference operators by generating Orlicz almost null and almost convergent sequence spaces.
S.A. Mohiuddine +3 more
doaj +1 more source
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 $L_1$, $L_{\infty}$, $L_1\oplus_1 L_ ...
Kamińska, Anna, Kubiak, Damian
core +1 more source
The domination theorem for operator classes generated by Orlicz spaces
Abstract We study lattice summing operators between Banach spaces focusing on two classes, ℓφ$\ell _\varphi$‐summing and strongly φ$\varphi$‐summing operators, which are generated by Orlicz sequence lattices ℓφ$\ell _\varphi$. For the class of strongly φ$\varphi$‐summing operators, we prove the domination theorem, which complements Pietsch's ...
D. L. Fernandez +3 more
wiley +1 more source
Packing Constant in Orlicz Sequence Spaces Equipped with the p-Amemiya Norm
The problem of packing spheres in Orlicz sequence space lΦ,p equipped with the p-Amemiya norm is studied, and a geometric characteristic about the reflexivity of lΦ,p is obtained, which contains the relevant work about lp (p>1) and classical Orlicz ...
Xin He, Jijie Yu, Yunan Cui, Xin Huo
doaj +1 more source
Embeddings between sequence variable Lebesgue spaces, strict and finitely strict singularity
Abstract For two variable Lebesgue spaces ℓpn$\ell _{p_n}$ and ℓqn$\ell _{q_n}$, with 0
Jan Lang, Aleš Nekvinda
wiley +1 more source
Stochastic integration with respect to cylindrical Lévy processes in Hilbert spaces
Abstract In this work, we present a comprehensive theory of stochastic integration with respect to arbitrary cylindrical Lévy processes in Hilbert spaces. As cylindrical Lévy processes do not enjoy a semimartingale decomposition, our approach relies on an alternative approach to stochastic integration by decoupled tangent sequences.
Gergely Bodó, Markus Riedle
wiley +1 more source
Moduli and Characteristics of Monotonicity in Some Banach Lattices
First the characteristic of monotonicity of any Banach lattice X is expressed in terms of the left limit of the modulus of monotonicity of X at the point 1.
Miroslav Krbec +3 more
doaj +1 more source
The De Giorgi method for local and nonlocal systems
Abstract We extend the De Giorgi iteration technique to the vectorial setting. For this we replace the usual scalar truncation operator by a vectorial shortening operator. As an application, we prove local boundedness for local and nonlocal nonlinear systems.
Linus Behn +3 more
wiley +1 more source
New Classes of Generalized Seminormed Difference Sequence Spaces
The purpose of this paper is to introduce new classes of generalized seminormed difference sequence spaces defined by a Musielak-Orlicz function. We also study some topological properties and prove some inclusion relations between resulting sequence ...
M. Mursaleen +2 more
doaj +1 more source
Nonlinear parabolic problems in Musielak--Orlicz spaces [PDF]
Our studies are directed to the existence of weak solutions to a parabolic problem containing a multi-valued term. The problem is formulated in the language of maximal monotone graphs.
Świerczewska-Gwiazda, Agnieszka
core

