Results 51 to 60 of about 182,902 (194)

M-Constants, Dominguez-Benavides coefficient, and weak fixed point property in Orlicz sequence spaces equipped with the p-Amemiya norm

, 2016
In this paper, a formula for the M-constants μn(lΦ,p)$\mu_{n}(l_{\Phi,p})$ of Orlicz sequence spaces lΦ,p$l_{\Phi,p}$ equipped with the p-Amemiya norm as well as for the equalities μn(lΦ,p)=n$\mu_{n}(l_{\Phi,p})=n$ for any n∈N$n\in \mathcal{N}$ are given.
Yunan Cui, H. Hudzik, M. Wisła
semanticscholar   +1 more source

Stochastic integration with respect to cylindrical Lévy processes in Hilbert spaces

Journal 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

New Classes of Generalized Seminormed Difference Sequence Spaces

Abstract 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, A. Alotaibi, Sunil K. Sharma   +2 more
doaj   +1 more source

The De Giorgi method for local and nonlocal systems

Journal 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, Lars Diening, Simon Nowak, Toni Scharle   +3 more
wiley   +1 more source

Sequence Spaces Defined by Musielak-Orlicz Function over -Normed Spaces

Abstract and Applied Analysis, 2013
In the present paper we introduce some sequence spaces over n-normed spaces defined by a Musielak-Orlicz function . We also study some topological properties and prove some inclusion relations between these spaces.
M. Mursaleen, Sunil K. Sharma, A. Kılıçman   +2 more
doaj   +1 more source

DIFFERENCE SEQUENCE SPACES DEFINED BY ORLICZ FUNCTIONS

Demonstratio Mathematica, 1999
There are five results in this paper. Given a sequence \(x= (x_k)\), \(\Delta x_k\) stands for \(x_k- x_{k+1}\) and \(\Delta x= (\Delta x_k: k= 1,2,\dots)\). Let \(\ell_\infty\), \(c\), \(c_0\) be the spaces of the bounded, the convergent and the null sequences, respectively.
Mursaleen, Khan, Mushir A., Qamaruddin
openaire   +2 more sources

The Orlicz space of entire sequences [PDF]

International Journal of Mathematics and Mathematical Sciences, 2004
Let Γ denote the space of all entire sequences and ∧ the space of all analytic sequences. This paper is devoted to the study of the general properties of Orlicz space ΓM of Γ.
K. Chandrasekhara Rao, N. Subramanian
openaire   +3 more sources

Global second‐order estimates in anisotropic elliptic problems

Proceedings of the London Mathematical Society, Volume 130, Issue 3, March 2025.
Abstract This work deals with boundary value problems for second‐order nonlinear elliptic equations in divergence form, which emerge as Euler–Lagrange equations of integral functionals of the Calculus of Variations built upon possibly anisotropic norms of the gradient of trial functions.
Carlo Alberto Antonini, Andrea Cianchi, Giulio Ciraolo, Alberto Farina, Vladimir Maz'ya   +4 more
wiley   +1 more source

One-complemented subspaces of Musielak–Orlicz sequence spaces

Journal of Approximation Theory, 2004
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jamison, J.E., Kamińska, A., Lewicki, Grzegorz   +2 more
openaire   +2 more sources