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Some isomorphically polyhedral orlicz sequence spaces [PDF]

Israel Journal of Mathematics, 1994
A Banach space is polyhedral if the unit ball of each of its finite dimensional subspaces is a polyhedron. It is known that a polyhedral Banach space has a separable dual and is $c_0$-saturated, i.e., each closed infinite dimensional subspace contains an isomorph of $c_0$.
openaire   +2 more sources

Coarse and uniform embeddings between Orlicz sequence spaces

, 2013
We give an almost complete description of the coarse and uniform embeddability between Orlicz sequence spaces. We show that the embeddability between two Orlicz sequence spaces is in most cases determined only by the values of their upper Matuszewska ...
F Albiac, I Aharoni, L Borel-Mathurin, M Mendel, Michal Kraus, N.J. Kalton, N.J. Kalton, N.J. Kalton, N.L. Randrianarivony, P.W. Nowak, P.W. Nowak, W.B. Johnson   +11 more
core   +1 more source

The Modulus of Nearly Uniform Smoothness in Orlicz Sequence Spaces

Journal of Function Spaces, 2019
It is well known that the modulus of nearly uniform smoothness related with the fixed point property is important in Banach spaces. In this paper, we prove that the modulus of nearly uniform smoothness in Köthe sequence spaces without absolutely ...
Shaoyong Zhang, Meiling Zhang, Yujia Zhan   +2 more
doaj   +1 more source

A threshold phenomenon for embeddings of $H^m_0$ into Orlicz spaces

, 2009
We consider a sequence of positive smooth critical points of the Adams-Moser-Trudinger embedding of $H^m_0$ into Orlicz spaces. We study its concentration-compactness behavior and show that if the sequence is not precompact, then the liminf of the $H^m_0$
A. Dall’Acqua, Adimurthi, Adimurthi, C. Bennett, C.S. Lin, D. Adams, E. Hebey, F. Hélein, F. Robert, H. Brézis, H. Brézis, H. Brézis, H. Brézis, H.C. Wente, J. Moser, J. Sacks, Luca Martinazzi, M. Struwe, M. Struwe, M. Struwe, M. Struwe, M. Struwe, N.S. Trudinger, O. Druet, P. Pizzetti, R. O’Neil, S. Agmon, T.H. Parker, W. Chen   +28 more
core   +3 more sources

New formulas for decreasing rearrangements and a class of Orlicz-Lorentz spaces

, 2013
Using a nonlinear version of the well known Hardy-Littlewood inequalities, we derive new formulas for decreasing rearrangements of functions and sequences in the context of convex functions.
Kamińska, Anna, Raynaud, Yves
core   +1 more source

Disjointly homogeneous Banach lattices and applications

, 2015
This is a survey on disjointly homogeneous Banach lattices and their applicactions. Several structural properties of this class are analyzed. In addition we show how these spaces provide a natural framework for studying the compactness of powers of ...
Flores, Julio, Hernández, Francisco L., Tradacete, Pedro   +2 more
core   +1 more source

Strongly Almost Lacunary -Convergent Sequences

Abstract and Applied Analysis, 2013
We study some new strongly almost lacunary -convergent generalized difference sequence spaces defined by an Orlicz function. We give also some inclusion relations related to these sequence spaces.
Adem Kılıçman, Stuti Borgohain
doaj   +1 more source

Empirical‐Process Limit Theory and Filter Approximation Bounds for Score‐Driven Time Series Models

Journal of Time Series Analysis, EarlyView.
ABSTRACT This article examines the filtering and approximation‐theoretic properties of score‐driven time series models. Under specific Lipschitz‐type and tail conditions, new results are derived, leading to maximal and deviation inequalities for the filtering approximation error using empirical process theory.
Enzo D'Innocenzo
wiley   +1 more source

Triple Solutions for Nonlinear (μ1(·), μ2(·))—Laplacian–Schrödinger–Kirchhoff Type Equations

Journal of Function Spaces, Volume 2026, Issue 1, 2026.
In this manuscript, we study a (μ1(·), μ2(·))—Laplacian–Schrödinger–Kirchhoff equation involving a continuous positive potential that satisfies del Pino–Felmer type conditions: K1∫ℝN11/μ1z∇ψμ1z dz+∫ℝN/μ1zVzψμ1z dz−Δμ1·ψ+Vzψμ1z−2ψ+K2∫ℝN11/μ2z∇ψμ2z dz+∫ℝN/μ2zVzψμ2z dz−Δμ2·ψ+Vzψμ2z−2ψ=ξ1θ1z,ψ+ξ2θ2z,ψ inℝN, where K1 and K2 are Kirchhoff functions, Vz is a ...
Ahmed AHMED, Moussa Ahmed Salem ATIGH, Mohamed Saad Bouh ELEMINE VALL, Calogero Vetro   +3 more
wiley   +1 more source

Locally Nearly Uniformly Convex Points in Orlicz Spaces Equipped with the Luxemburg Norm

Axioms
This research explores two novel geometric concepts—nearly convex points and locally nearly uniformly convex points within the frameworks of Banach spaces and Orlicz spaces equipped with the Luxemburg norm.
Yunan Cui, Xiaoxia Wang, Yaoming Niu
doaj   +1 more source