Dual of Modulation Spaces with Variable Smoothness and Integrability
In this article, we first give a proof for the denseness of the Schwartz class in the modulation spaces with variable smoothness and integrability. Then, we study the dual spaces of such modulation spaces.
Hua Zhu, Ozgur Ege
wiley +1 more source
Normal structure of Musielak-Orlicz spaces [PDF]
We show that a Musielak-Orlicz function space Lφ has uniformly normal structure iff it is reflexive. We also give a criterion for normal structure of the Musielak-Orlicz sequence space φ and under the assumption that φ is not linear around zero, a ...
Katirtzoglou, Eleni
core +5 more sources
The Strongly Extreme Points in the Musielak-Orlicz Space Endowed With p-Amemiya Norm
In order to study some geometric properties of MusielakOrlicz space endowed with pAmemiya norm, we discuss the necessary and sufficient conditions for the strongly extreme points in the MusielakOrlicz function space endowed with pAmemiya norm ...
JIA Jing, WANG Jun-ming
doaj +1 more source
Variable λ‐Central Morrey Space Estimates for the Fractional Hardy Operators and Commutators
This paper aims to show that the fractional Hardy operator and its adjoint operator are bounded on central Morrey space with variable exponent. Similar results for their commutators are obtained when the symbol functions belong to λ‐central bounded mean oscillation (λ‐central BMO) space with variable exponent.
Amjad Hussain +3 more
wiley +1 more source
Solution and Stability of Quartic Functional Equations in Modular Spaces by Using Fatou Property
We propose a novel generalized quartic functional equation and investigate its Hyers–Ulam stability in modular spaces using a fixed point technique and the Fatou property in this paper.
N. Uthirasamy +4 more
wiley +1 more source
Boundary regularity for manifold constrained p(x)‐harmonic maps
Abstract We prove partial and full boundary regularity for manifold constrained p(x)‐harmonic maps.
Iwona Chlebicka +2 more
wiley +1 more source
Approximate identities and Young type inequalities in Musielak-Orlicz spaces [PDF]
summary:We discuss the convergence of approximate identities in Musielak-Orlicz spaces extending the results given by Cruz-Uribe and Fiorenza (2007) and the authors F.-Y. Maeda, Y. Mizuta and T. Ohno (2010).
D. Cruz‐Uribe +7 more
core +1 more source
P-Convexity Property in Musielak-Orlicz Function Space of Bohner Type [PDF]
In this paper, we described about Musielak-Orlicz function spaces of Bochner type. It has been obtained that Musielak-Orlicz function space of Bochner type becomes a Banach space. It is described also about P-convexity of Musielak-Orlicz function space
Romadiastri, Yulia
core +3 more sources
Musielak-Orlicz-Hardy Spaces Associated with Operators Satisfying Reinforced Off-Diagonal Estimates
Let X be a metric space with doubling measure and L a one-to-one operator of type ω having a bounded H∞ -functional calculus in L2(X) satisfying the reinforced (pL; qL) off-diagonal estimates on balls, where pL ∊ [1; 2) and qL ∊ (2;∞]. Let φ : X × [0;∞) →
Bui The Anh +4 more
doaj +1 more source
Anisotropic interpolation theorems of Musielak-Orlicz type
Anisotropy is a common attribute of Nature, which shows different characterizations in different directions of all or part of the physical or chemical properties of an object. The anisotropic property, in mathematics, can be expressed by a fairly general
Jinxia Li, Ruirui Sun, Baode Li
doaj +1 more source

