Results 61 to 70 of about 1,287 (117)
On Some Classes of Double Difference Sequences of Interval Numbers
Abstract and Applied Analysis, 2014 The aim of this paper is to introduce some interval valued double difference sequence spaces by means of Musielak-Orlicz function M=(Mij). We also determine some topological properties and inclusion relations between these double difference sequence ...
S. A. Mohiuddine +2 more
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Maximal function on Musielak–Orlicz spaces and generalized Lebesgue spaces
Bulletin des Sciences Mathématiques, 2005 It is proved that the uniform boundedness of averaging operators corresponding to families of disjoint cubes is equivalent to the boundedness of the Hardy--Littlewood maximal operator \(M\) on generalized Lebesgue space \(L^{p(\cdot)}(\mathbb R^d)\) with \(1< \operatorname{ess}\inf p\leq \operatorname{ess}\sup p< \infty\).
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A revised condition for harmonic analysis in generalized Orlicz spaces on unbounded domains
Mathematische Nachrichten, Volume 297, Issue 9, Page 3184-3191, September 2024.Abstract Conditions for harmonic analysis in generalized Orlicz spaces have been studied over the past decade. One approach involves the generalized inverse of so‐called weak Φ$\Phi$‐functions. It featured prominently in the monograph Orlicz Spaces and Generalized Orlicz Spaces [P. Harjulehto and P. Hästö, Lecture Notes in Mathematics, vol.
Petteri Harjulehto +2 more
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Non‐autonomous double phase eigenvalue problems with indefinite weight and lack of compactness
Bulletin of the London Mathematical Society, Volume 56, Issue 2, Page 734-755, February 2024.Abstract In this paper, we consider eigenvalues to the following double phase problem with unbalanced growth and indefinite weight, −Δpau−Δqu=λm(x)|u|q−2uinRN,$$\begin{equation*} \hspace*{3pc}-\Delta _p^a u-\Delta _q u =\lambda m(x)|u|^{q-2}u \quad \mbox{in} \,\, \mathbb {R}^N, \end{equation*}$$where N⩾2$N \geqslant 2$, 1
Tianxiang Gou, Vicenţiu D. Rădulescu
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Monotonicity and the Dominated Farthest Points Problem in Banach Lattice
Abstract and Applied Analysis, 2014 We introduce the dominated farthest points problem in Banach lattices. We prove that for two equivalent norms such that X becomes an STM and LLUM space the dominated farthest points problem has the same solution.
H. R. Khademzadeh, H. Mazaheri
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Trudinger's inequality for Riesz potentials of functions in Musielak–Orlicz spaces
Bulletin des Sciences Mathématiques, 2014 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ohno, Takao, Shimomura, Tetsu
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Equilateral dimension of some classes of normed spaces
, 2014 An equilateral dimension of a normed space is a maximal number of pairwise equidistant points of this space. The aim of this paper is to study the equilateral dimension of certain classes of finite dimensional normed spaces.
Kobos, Tomasz
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Double-phase parabolic equations with variable growth and nonlinear sources
Advances in Nonlinear Analysis, 2022 We study the homogeneous Dirichlet problem for the parabolic equations ut−div(A(z,∣∇u∣)∇u)=F(z,u,∇u),z=(x,t)∈Ω×(0,T),{u}_{t}-{\rm{div}}\left({\mathcal{A}}\left(z,| \nabla u| )\nabla u)=F\left(z,u,\nabla u),\hspace{1.0em}z=\left(x,t)\in \Omega \times ...
Arora Rakesh, Shmarev Sergey
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Abstract and Applied Analysis, 2013 We introduced the ideal convergence of generalized difference sequence spaces combining an infinite matrix of complex numbers with respect to λ-sequences and the Musielak-Orlicz function over n-normed spaces.
Awad A. Bakery
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Approximative compactness in Musielak–Orlicz function spaces of Bochner type
Banach Journal of Mathematical Analysis, 2017 In this article, we give the criteria for approximative compactness of every proximinal convex subset of Musielak–Orlicz–Bochner function spaces equipped with the Orlicz norm. As a corollary, we give the criteria for approximative compactness of Musielak–Orlicz–Bochner function spaces equipped with the Orlicz norm.
Shang, Shaoqiang, Cui, Yunan
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