Results 111 to 120 of about 4,655,315 (283)

On noncommutative distributional Khintchine type inequalities

Bulletin of the London Mathematical Society, Volume 56, Issue 7, Page 2278-2295, July 2024.
Abstract The purpose of this paper is to provide distributional estimates for the series of the form ∑k=1∞xk⊗rk$\sum _{k=1}^\infty x_k\otimes r_k$ with {xk}k⩾1$\lbrace x_k\rbrace _{k\geqslant 1}$ being elements from noncommutative Lorentz spaces Λlog1/2(M)$\Lambda _{\log ^{1/2}}(\mathcal {M})$ and {rk}k⩾1$\lbrace r_k\rbrace _{k\geqslant 1}$ being ...
Yong Jiao, Xingyan Quan, Fedor Sukochev, Dmitriy Zanin   +3 more
wiley   +1 more source

Hardy inequalities in Orlicz spaces [PDF]

Transactions of the American Mathematical Society, 1999
We establish a sharp extension, in the framework of Orlicz spaces, of the ( n n -dimensional) Hardy inequality, involving functions defined on a domain G G , their gradients and the distance function from the boundary of G G .
openaire   +2 more sources

Multiple solutions for Kirchhoff elliptic equations in Orlicz-Sobolev spaces

Boundary Value Problems, 2017
We investigate the existence of solutions of the Kirchhoff elliptic equations with nonlinearity in R N $R^{N}$ . Using the ideas developed in Orlicz spaces and the technique of variation principle, we prove that there are at least three solutions in ...
Shujun Wu
doaj   +1 more source

ON \(\lambda\)-WEAK CONVERGENCE OF SEQUENCES DEFINED BY AN ORLICZ FUNCTION

Ural Mathematical Journal
In this article, we introduce and rigorously analyze the concept of difference \(\lambda\)-weak convergence for sequences defined by an Orlicz function.
Ömer Kişi, Mehmet Gürdal
doaj   +1 more source

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

𝑝-Carleson Measures for a Class of Hardy-Orlicz Spaces

International Journal of Mathematics and Mathematical Sciences, 2011
An alternative interpretation of a family of weighted Carleson measures is used to characterize 𝑝-Carleson measures for a class of Hardy-Orlicz spaces admitting a nice weak factorization.
Benoît Florent Sehba
doaj   +1 more source

On Approximation by Linear Combinations of Modified Summation Operators of Integral Type in Orlicz Spaces

Mathematics, 2018
In this paper, the authors introduce the Orlicz spaces corresponding to the Young function and, by virtue of the equivalent theorem between the modified K-functional and modulus of smoothness, establish the direct, inverse, and equivalent theorems for ...
Ling-Xiong Han, Feng Qi
doaj   +1 more source

Quantitative estimates for perturbed sampling Kantorovich operators in Orlicz spaces

Demonstratio Mathematica
In the present work, we establish a quantitative estimate for the perturbed sampling Kantorovich operators in Orlicz spaces, in terms of the modulus of smoothness, defined by means of its modular functional.
Costarelli Danilo, De Angelis Eleonora, Vinti Gianluca   +2 more
doaj   +1 more source

Weyl's Law for the Steklov Problem on Surfaces with Rough Boundary. [PDF]

Arch Ration Mech Anal, 2023
Karpukhin M, Lagacé J, Polterovich I.
europepmc   +1 more source

On Imbeddings into Orlicz Spaces and Some Applications [PDF]

, 1967
Neil S. Trudinger
openalex   +1 more source