Results 121 to 130 of about 4,824,817 (357)
On an Interesting Class of Variable Exponents
, 2011 Let $\mathcal{M}(\mathbb{R}^n)$ be the class of functions $p:\mathbb{R}^n\to[1,\infty]$ bounded away from one and infinity and such that the Hardy-Littlewood maximal function is bounded on the variable Lebesgue space $L^{p(\cdot)}(\mathbb{R}^n)$. We denote by $\mathcal{M}^*(\mathbb{R}^n)$ the class of variable exponents $p\in\mathcal{M}(\mathbb{R}^n ...
Karlovich, Alexei Yu. +1 more
openaire +2 more sources
Clinical Trial Readiness in Limb Girdle Muscular Dystrophy R1 (LGMDR1): A GRASP Consortium Study
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective Identifying functional measures that are both valid and reliable in the limb girdle muscular dystrophy (LGMD) population is critical for quantifying the level of functional impairment related to disease progression in order to establish clinical trial readiness in the context of anticipated therapeutic trials.
Stephanie M. Hunn +29 more
wiley +1 more source
Ergodic Theorem in Grand Variable Exponent Lebesgue Spaces [PDF]
arXiv, 2019 We consider several fundamental properties of grand variable exponent Lebesgue spaces. Moreover, we discuss Ergodic theorems in these spaces whenever the exponent is invariant under the transformation.
arxiv
Arthritis Care &Research, EarlyView.Objective This work aimed to evaluate the pharmacokinetics, efficacy, and safety of upadacitinib, an oral selective JAK inhibitor, in pediatric patients with polyarticular‐course juvenile idiopathic arthritis (pcJIA). Methods In an open‐label, phase 1 study (SELECT‐YOUTH), enrolled patients, aged 2 to <18 years with pcJIA, received body weight–based ...
Hermine I. Brunner +12 more
wiley +1 more source
Singular integrals and potentials in some Banach function spaces with variable exponent
Journal of Function Spaces and Applications, 2003 We introduce a new Banach function space - a Lorentz type space with variable exponent. In this space the boundedness of singular integral and potential type operators is established, including the weighted case.
Vakhtang Kokilashvili, Stefan Samko
doaj +1 more source
Traces and fractional Sobolev extension domains with variable exponent
, 2018 Assume that Ω ⊂ RN is a bounded domain of class C0,1 and denoted by Ws,q(.),p(.,.) (Ω) the fractional Sobolev space with variable exponent. We show that Ω is a Ws,q(.),p(.,.)−extension domain for s ∈ (0, 1).
A. Baalal, Mohamed Berghout
semanticscholar +1 more source
Arthritis Care &Research, EarlyView.Objective Osteoporosis, a known complication of rheumatoid arthritis (RA), increases the risk of hip fracture, which is associated with high morbidity and mortality. Fracture risk estimates in patients with RA treated with contemporary treatment strategies are lacking.
C. Allyson Jones +5 more
wiley +1 more source
The Existence of Solutions to the Nonhomogeneous A-Harmonic Equations with Variable Exponent
Abstract and Applied Analysis, 2014 We first discuss the existence and uniqueness of weak solution for the obstacle problem of the nonhomogeneous A-harmonic equation with variable exponent, and then we obtain the existence of the solutions of the equation d⋆A(x,dω)=B(x,dω) in the weighted ...
Haiyu Wen
doaj +1 more source
Equivalence among various variable exponent Hardy or Bergman spaces [PDF]
arXiv, 2018 We study the question of when two weighted variable exponent Bergman spaces or Hardy spaces are equivalent. As an application, we show that variable exponent Hardy spaces have a close relation to classical Hardy spaces when the exponent is log-H\"{o}lder continuous and has bounded harmonic conjugate (when extended from its boundary values to be ...
arxiv
Variable exponent p(x)-Kirchhoff type problem with convection
Journal of Mathematical Analysis and Applications, 2022 C. Vetro
semanticscholar +1 more source