Results 51 to 60 of about 6,795 (190)

Normalized solutions of the critical Schrödinger–Bopp–Podolsky system with logarithmic nonlinearity

Transactions of the London Mathematical Society, Volume 12, Issue 1, December 2025.
Abstract In this paper, we study the following critical Schrödinger–Bopp–Podolsky system driven by the p$p$‐Laplace operator and a logarithmic nonlinearity: −Δpu+V(εx)|u|p−2u+κϕu=λ|u|p−2u+ϑ|u|p−2ulog|u|p+|u|p*−2uinR3,−Δϕ+a2Δ2ϕ=4π2u2inR3.$$\begin{equation*} {\begin{cases} -\Delta _p u+\mathcal {V}(\varepsilon x)|u|^{p-2}u+\kappa \phi u=\lambda |u|^{p-2 ...
Sihua Liang, Xueqi Sun, Shuaishuai Liang, Vicenţiu D. Rădulescu   +3 more
wiley   +1 more source

Relationships between combinatorial measurements and Orlicz norms (II)

Journal of Functional Analysis, 2009
A sub-\(\alpha\)-Orlicz function \(\Phi\), \(\alpha> 1\), is defined and an Orlicz function \(M_\phi\), generated by \(\Phi\). For any infinite set \(F\subset Y^n\) \((n\geq 1)\), let \(\Psi_F:\mathbb{N}\to\mathbb{N}\) be defined by \[ \Psi_F(s)= \max\{|F\cap(A_1\times\cdots\times A_n)|: A_j\subset Y,\,|A_j|\leq s,\,j= 1,\dots, n\}. \] Let \(d_F(\Phi)=
Blei, Ron, Ge, Lin
openaire   +2 more sources

The domination theorem for operator classes generated by Orlicz spaces

Mathematische 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, M. Mastyło, J. Santos, E. B. Silva   +3 more
wiley   +1 more source

Some properties of pre-quasi norm on Orlicz sequence space

Journal of Inequalities and Applications, 2020
In this article, we introduce the concept of pre-quasi norm on E (Orlicz sequence space), which is more general than the usual norm, and give the conditions on E equipped with the pre-quasi norm to be Banach space.
Awad A. Bakery, Afaf R. Abou Elmatty
doaj   +1 more source

Weak Orlicz-Hardy Martingale Spaces [PDF]

, 2013
In this paper, several weak Orlicz-Hardy martingale spaces associated with concave functions are introduced, and some weak atomic decomposition theorems for them are established.
Jiao, Yong, Wu, Lian
core  

A New Generalization of Bivariate Sampling Kantorovich Operators and Applications to Image Processing

Mathematical Methods in the Applied Sciences, Volume 48, Issue 16, Page 15413-15432, 15 November 2025.
ABSTRACT In this paper, we introduce bivariate modified sampling Kantorovich operators, which extend the classical sampling Kantorovich operators by incorporating a transformation function ρ$$ \rho $$. The paper begins by presenting essential definitions, including to introduce new bivariate weighted modulus of continuity, and its fundamental ...
Metin Turgay, Tuncer Acar
wiley   +1 more source

Isometries of Musielak-Orlicz Spaces Equipped with the Orlicz Norm

Rocky Mountain Journal of Mathematics, 1994
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +3 more sources

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

Contractive projections in Orlicz sequence spaces

Abstract and Applied Analysis, 2004
We characterize norm-one complemented subspaces of Orlicz sequence spaces ℓM equipped with either Luxemburg or Orlicz norm, provided that the Orlicz function M is sufficiently smooth and sufficiently different from the square function.
Beata Randrianantoanina
doaj   +1 more source