Results 61 to 70 of about 6,527 (212)

Linear isomorphic spaces of fractional-order difference operators

open access: yesAlexandria Engineering Journal, 2021
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

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

The domination theorem for operator classes generated by Orlicz spaces

open access: yesMathematische Nachrichten, Volume 298, Issue 11, Page 3576-3598, November 2025.
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

open access: yesAbstract and Applied Analysis, 2014
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

open access: yesMathematische Nachrichten, Volume 298, Issue 9, Page 2926-2941, September 2025.
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

open access: yesJournal of the London Mathematical Society, Volume 112, Issue 3, September 2025.
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

open access: yesFixed Point Theory and Applications, 2010
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

open access: yesJournal of the London Mathematical Society, Volume 112, Issue 1, July 2025.
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

open access: yesAbstract and Applied Analysis, 2014
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]

open access: yes, 2013
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  

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