Results 81 to 90 of about 4,657,157 (233)
On noncommutative distributional Khintchine type inequalities
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
Density of smooth functions in Musielak-Orlicz-Sobolev spaces $W^{k,Φ}(Ω)$ [PDF]
Anna Kamińska, Mariusz Żyluk
openalex +1 more source
Existence of solutions to a nonlinear fractional diffusion equation with exponential growth
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
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
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New Hardy spaces of Musielak-Orlicz type and boundedness of sublinear operators
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
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
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
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
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
Direct and inverse approximation theorems of functions in the Orlicz type spaces 𝓢M [PDF]
Chaichenko, Stanislav +2 more
openalex +1 more source

