Results 51 to 60 of about 273 (178)

Monotonicities of Quasi-Normed Orlicz Spaces

Axioms
In this paper, we introduce a new Orlicz function, namely a b-Orlicz function, which is not necessarily convex. The Orlicz spaces LΦ generated by the b-Orlicz function Φ equipped with a Luxemburg quasi-norm contain both classical spaces Lp(p≥1) and Lp ...
Dong Ji, Yunan Cui
doaj   +1 more source

Characterizations for the Riesz potential and its commutators on generalized Orlicz-Morrey spaces

Journal of Inequalities and Applications, 2016
In the present paper, we shall give a characterization for the Spanne and Adams type boundedness of the Riesz potential and its commutators on the generalized Orlicz-Morrey spaces, respectively.
Fatih Deringoz, Vagif S Guliyev, Sabir G Hasanov   +2 more
doaj   +1 more source

On approximation by rational functions in Musielak–Orlicz spaces

Journal of Approximation Theory
The authors extend the results from [\textit{W. M. Kozlowski}, J. Approx. Theory 264, Article ID 105535, 14 p. (2021; Zbl 1462.41015); Appl. Set-Valued Anal. Optim. 4, No. 3, 337--348 (2022; \url{doi:10.23952/asvao.4.2022.3.07})] to the problem of best approximation by rational functions in a larger class of Musielak-Orlicz spaces of real-valued ...
Kozlowski WM, Vinti G
openaire   +3 more sources

Diagonal Window Tests for Deferred Weighted Frequent Cauchy Sequences and Mean Coherence

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This paper studies when a diagonal pairwise sampling condition of pre‐Cauchy type can be upgraded to a genuine convergence criterion in the deferred weighted setting. Working with the window system determined by (λ, μ), we introduce a diagonal pairwise framework and compare it with the corresponding two‐parameter Pringsheim measure on N×N.
Ameni Gargouri, Mehmet Gürdal, Ömer Kişi, Abdelwaheb Mhemdi, Smritijit Sen   +4 more
wiley   +1 more source

On the A-Laplacian

Abstract and Applied Analysis, 2003
We prove, for Orlicz spaces LA(ℝN) such that A satisfies the Δ2 condition, the nonresolvability of the A-Laplacian equation ΔAu+h=0 on ℝN, where ∫h≠0, if ℝN is A-parabolic.
Noureddine Aïssaoui
doaj   +1 more source

Matrix Freedman Inequality for Sub‐Weibull Martingales

Stat, Volume 14, Issue 4, December 2025.
ABSTRACT In this paper, we establish a matrix Freedman inequality for martingales with sub‐Weibull tails. Under conditional ψα$$ {\psi}_{\alpha } $$ control of the increments, the top eigenvalue admits a non‐asymptotic tail bound with explicit, dimension‐aware constants.
Íñigo Torres
wiley   +1 more source

Multiplicativity Factors for Orlicz Space Function Norms

Journal of Mathematical Analysis and Applications, 1993
Let \(\varphi\) be a Young function on \([0, \infty)\), \((T, \Omega, m)\) be a measure space, and \(L^ \varphi = L^ \varphi (T, \Omega, m)\) be an Orlicz space equipped with the Luxemburg norm \(\rho_ \varphi\) (so that \(L^ \infty \equiv L^ \varphi\) for \(\varphi (s) = \{{0, \atop \infty,} {s \in [0,1]; \atop s > 1.})\). Put \(m_{\inf} = \inf \{m(A)
Arens, Richard, Goldberg, Moshe, Luxemburg, W. A. J.   +2 more
openaire   +3 more sources

Multiplicity results for logarithmic double phase problems via Morse theory

Bulletin of the London Mathematical Society, Volume 57, Issue 12, Page 4178-4201, December 2025.
Abstract In this paper, we study elliptic equations of the form −divL(u)=f(x,u)inΩ,u=0on∂Ω,$$\begin{align*} -\operatorname{div}\mathcal {L}(u)=f(x,u)\quad \text{in }\Omega, \quad u=0 \quad \text{on } \partial \Omega, \end{align*}$$where divL$\operatorname{div}\mathcal {L}$ is the logarithmic double phase operator given by div|∇u|p−2∇u+μ(x)|∇u|q(e+|∇u ...
Vicenţiu D. Rădulescu, Matheus F. Stapenhorst, Patrick Winkert   +2 more
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