Results 81 to 90 of about 4,657,157 (233)

On noncommutative distributional Khintchine type inequalities

open access: yesBulletin 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   +3 more
wiley   +1 more source

Existence of solutions to a nonlinear fractional diffusion equation with exponential growth

open access: yesNonlinear Analysis
In this paper, we study a Cauchy problem for a space–time fractional diffusion equation with exponential nonlinearity. Based on the standard Lp-Lq estimates of strongly continuous semigroup generated by fractional Laplace operator, we investigate the ...
Jia Wei He   +3 more
doaj   +1 more source

Regular Banach space net and abstract-valued Orlicz space of range-varying type

open access: yesOpen Mathematics, 2019
This paper investigates the abstract-valued Orlicz space of range-varying type. We firstly give the notions and examples of partially continuous modular net and regular Banach space net of type (II), then deal with the definitions, constructions, and ...
Zhang Qinghua, Zhu Yueping
doaj   +1 more source

New Hardy spaces of Musielak-Orlicz type and boundedness of sublinear operators

open access: yes, 2013
We introduce a new class of Hardy spaces $H^{\varphi(\cdot,\cdot)}(\mathbb R^n)$, called Hardy spaces of Musielak-Orlicz type, which generalize the Hardy-Orlicz spaces of Janson and the weighted Hardy spaces of Garc\'ia-Cuerva, Str\"omberg, and ...
Ky, Luong Dang
core  

On one extension theorem dealing with weighted Orlicz-Slobodetskii space. Analysis on Lipschitz subgraph and Lipschitz domain

open access: yes, 2016
Having a given weight ρ(x) = τ (dist(x,∂Ω)) defined on Lipschitz boundary domain Ω and an Orlicz function Ψ , we construct the subordinated weight ω(·, ·) defined on ∂Ω×∂Ω and extension operator ExtL : Lip(∂Ω) → Lip(Ω) form Lipschitz functions defined on
A. Kałamajska, R. Dhara
semanticscholar   +1 more source

Packing Constant in Orlicz Sequence Spaces Equipped with the p-Amemiya Norm

open access: yesAbstract and Applied Analysis, 2014
The problem of packing spheres in Orlicz sequence space lΦ,p equipped with the p-Amemiya norm is studied, and a geometric characteristic about the reflexivity of lΦ,p is obtained, which contains the relevant work about lp  (p>1) and classical Orlicz ...
Xin He, Jijie Yu, Yunan Cui, Xin Huo
doaj   +1 more source

ON ONE EXTENSION THEOREM DEALING WITH WEIGHTED ORLICZ-SLOBODETSKII SPACE. ANALYSIS ON CUBE

open access: yes, 2015
Having given weight ˜ r = r(dist(x;¶ Q)) defined on cube Q and Orlicz function R , we construct the weight wr( ; ) defined onQQ and extension operator Ext L : Lipd(¶ Q)7!
R. Narayan, Dhara Agnieszka
semanticscholar   +1 more source

Continuity and essential norm of operators defined by infinite tridiagonal matrices in weighted Orlicz and l∞ spaces

open access: yesOpen Mathematics
In this article, we provide a comprehensive study on the continuity and essential norm of an operator defined by an infinite tridiagonal matrix, specifically when it operates from a weighted Orlicz sequence space or a weighted l∞{l}^{\infty } space into ...
Ramos-Fernández Julio C.   +2 more
doaj   +1 more source

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