Results 81 to 90 of about 8,406 (194)

On the Solution of n‐Product of 2D‐Hadamard–Volterra Integral Equations in Banach Algebra

open access: yesJournal of Mathematics, Volume 2025, Issue 1, 2025.
In this study, the solvability of a general form of product type of n‐classes of 2D‐Hadamard–Volterra integral equations in the Banach algebra C([1, a] × [1, b]) is studied and investigated under more general and weaker assumptions. We use a general form of the Petryshyn’s fixed point theorem (F.P.T.) in combination with a suitable measure of ...
Mohamed M. A. Metwali   +3 more
wiley   +1 more source

Characterizations for the Riesz potential and its commutators on generalized Orlicz-Morrey spaces

open access: yesJournal of Inequalities and Applications, 2016
In the present paper, we shall give a characterization for the Spanne and Adams type boundedness of the Riesz potential and its commutators on the generalized Orlicz-Morrey spaces, respectively.
Fatih Deringoz   +2 more
doaj   +1 more source

The Existence of Central Approximate Identity for Beurling Segal Algebras and Related Homological Properties

open access: yesJournal of Mathematics, Volume 2025, Issue 1, 2025.
In this paper, some properties of weighted Segal algebras are investigated. The condition under which it guarantees the existence of a central approximate identity for weighted Segal algebras is given. Also, various homological and cohomological properties of weighted Segal algebras are obtained.
Batoul S. Mortazavi-Samarin   +3 more
wiley   +1 more source

On Orlicz Difference Sequence Spaces

open access: yesSüleyman Demirel Üniversitesi Fen-Edebiyat Fakültesi Fen Dergisi, 2010
: The main aim of this article is to generalize the famous Orlicz sequence space by using difference operators and a sequence of non-zero scalars and investigate some topological structure relevant to this generalized space.
Hemen Dutta
doaj  

Monotonicity in Modular Function Spaces Equipped with O-norm

open access: yesJournal of Harbin University of Science and Technology
Modular function spaces are extensions of Lebesgue spaces and Orlicz spaces. We introduce Orlicz norm in Modular function spaces, and study the monotonicity in modular function spaces equipped with O-norm and L-norm.
HU Xuemei, CUI Yunan
doaj   +1 more source

Anisotropic interpolation theorems of Musielak-Orlicz type

open access: yesJournal of Inequalities and Applications, 2016
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

Nonsquareness and Locally Uniform Nonsquareness in Orlicz-Bochner Function Spaces Endowed with Luxemburg Norm

open access: yesJournal of Inequalities and Applications, 2011
Criteria for nonsquareness and locally uniform nonsquareness of Orlicz-Bochner function spaces equipped with Luxemburg norm are given. We also prove that, in Orlicz-Bochner function spaces generated by locally uniform nonsquare Banach space ...
Cui Yunan, Shang Shaoqiang, Fu Yongqiang
doaj  

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

open access: yesInternational 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

Complex Convexity of Musielak-Orlicz Function Spaces Equipped with the p-Amemiya Norm

open access: yesAbstract and Applied Analysis, 2014
The complex convexity of Musielak-Orlicz function spaces equipped with the p-Amemiya norm is mainly discussed.
Lili Chen, Yunan Cui, Yanfeng Zhao
doaj   +1 more source

On the A-Laplacian

open access: yesAbstract and Applied Analysis, 2003
We prove, for Orlicz spaces LA(ℝN) such that A satisfies the Δ2 condition, the nonresolvability of the A-Laplacian equation ΔAu+h=0 on ℝN, where ∫h≠0, if ℝN is A-parabolic.
Noureddine Aïssaoui
doaj   +1 more source

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