Results 41 to 50 of about 4,293,985 (168)

The fixed point property in Musielak-Orlicz sequence spaces [PDF]

, 2001
summary:In this paper, we give necessary and sufficient conditions for a point in a Musielak-Orlicz sequence space equipped with the Orlicz norm to be an {\bf H}-point.
Cui, Yunan, Thompson, H. Bevan
core   +1 more source

Carleson Measure Theorems for Large Hardy-Orlicz and Bergman-Orlicz Spaces

Journal of Function Spaces and Applications, 2012
We characterize those measures μ for which the Hardy-Orlicz (resp., weighted Bergman-Orlicz) space HΨ1 (resp., AαΨ1) of the unit ball of CN embeds boundedly or compactly into the Orlicz space LΨ2(BN¯,μ) (resp., LΨ2(BN,μ)), when the defining functions Ψ1 ...
Stéphane Charpentier, Benoît Sehba
doaj   +1 more source

Weighted Hardy operators in local generalized Orlicz-Morrey spaces

Karpatsʹkì Matematičnì Publìkacìï, 2021
In this paper, we find sufficient conditions on general Young functions $(\Phi, \Psi)$ and the functions $(\varphi_1,\varphi_2)$ ensuring that the weighted Hardy operators $A_\omega^\alpha$ and ${\mathcal A}_\omega^\alpha$ are of strong type from a local
C. Aykol, Z.O. Azizova, J.J. Hasanov
doaj   +1 more source

Large Covariance Matrix Estimation by Penalized Log‐Det Heuristics

Statistical Analysis and Data Mining: An ASA Data Science Journal, Volume 19, Issue 5, October 2026.
ABSTRACT We study covariance estimation in high‐dimensional approximate factor models with a sparse residual covariance. The estimator combines a log‐det loss with nuclear‐norm and off‐diagonal ℓ1$$ {\mathrm{\ell}}_1 $$ penalties on a sample‐normalized covariance scale.
Enrico Bernardi, Matteo Farnè
wiley   +1 more source

Strongly Extreme Points and Middle Point Locally Uniformly Convex in Orlicz Spaces Equipped with s-Norm

Journal of Function Spaces, 2019
As is well known, the extreme points and strongly extreme points play important roles in Banach spaces. In this paper, the criterion for strongly extreme points in Orlicz spaces equipped with s-norm is given.
Yunan Cui, Yujia Zhan
doaj   +1 more source

Amenability Constants for Unconditional Sums of Banach Algebras

Mathematische Nachrichten, Volume 299, Issue 9, Page 2472-2494, September 2026.
ABSTRACT We study Johnson amenability for unconditional direct sums of Banach algebras. Given a family (Ai)i∈I$(A_i)_{i\in I}$ of Banach algebras and a Banach sequence lattice E$E$ on I$I$, the E$E$‐sum ⨁i∈IAiE${\bigl (\bigoplus _{i\in I} A_i\bigr)}_{\!E}$ carries a natural Banach algebra structure via coordinatewise multiplication.
Tomasz Kania, Jerzy Ka̧kol
wiley   +1 more source

Multiplication Operators on Orlicz Generalized Difference (sss)

Journal of Function Spaces, 2020
In this article, we inspect the sufficient conditions on the Orlicz generalized difference sequence space to be premodular Banach (sss). We look at some topological and geometrical structures of the multiplication operators described on Orlicz ...
Awad A. Bakery, OM Kalthum S. K. Mohamed
doaj   +1 more source

Entropy and renormalized solutions for a nonlinear elliptic problem in Musielak-Orlicz spaces

Современная математика: Фундаментальные направления, 2023
In this paper, we establish the equivalence of entropy and renormalized solutions of second-order elliptic equations with nonlinearities defined by the Musielak-Orlicz functions and the right-hand side from the space L1(Ω).
L. M. Kozhevnikova
doaj   +1 more source

On some equivalent geometric properties in the Besicovitch-Orlicz space of almost periodic functions with Luxemburg norm [PDF]

, 2004
summary:The paper is concerned with the characterization and comparison of some local geometric properties of the Besicovitch-Orlicz space of almost periodic functions.
Morsli, Mohamed, Smaali, Mannal, Bedouhene, Fazia, C. Meng, H. Hudzik, Y. Cui   +5 more
core   +1 more source

Well‐posedness of heat equations with nonlinearities of arbitrarily rapid growth

Proceedings of the London Mathematical Society, Volume 133, Issue 3, September 2026.
Abstract We address local‐ and global‐in‐time well‐posedness of the Cauchy problem for nonlinear heat equations without imposing growth rate restrictions on the nonlinearity a priori. Our results constitute a nontrivial expansion of the classical Lq$L^q$‐theory for nonlinearities dominated by polynomial growth and the exponential‐Orlicz space theory ...
Yohei Fujishima, Kotaro Hisa, Robert Laister   +2 more
wiley   +1 more source