Results 81 to 90 of about 12,193 (245)
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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Approximation in weighted Orlicz spaces
Abstract We prove some direct and converse theorems of trigonometric approximation in weighted Orlicz spaces with weights satisfying so called Muckenhoupt’s A p condition.
Akgün, Ramazan, İsrafilov, Daniyal M.
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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
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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
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The Orlicz space of entire sequences
Let Γ denote the space of all entire sequences and ∧ the space of all analytic sequences. This paper is devoted to the study of the general properties of Orlicz space ΓM of Γ.
K. Chandrasekhara Rao, N. Subramanian
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Integration in Orlicz-Bochner Spaces [PDF]
Let (Ω,Σ,μ) be a complete σ-finite measure space, φ be a Young function, and X and Y be Banach spaces. Let Lφ(X) denote the Orlicz-Bochner space, and Tφ∧ denote the finest Lebesgue topology on Lφ(X). We study the problem of integral representation of (Tφ∧,·Y)-continuous linear operators T:Lφ(X)→Y with respect to the representing operator-valued ...
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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
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Optimality of Cwikel-Solomyak estimates in Orlicz spaces [PDF]
Fedor Sukochev, Dmitriy Zanin
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Publication in the conference proceedings of SampTA, Bremen, Germany ...
Führ, Hartmut, Schnackers, Catherine
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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
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