Results 61 to 70 of about 135 (122)

Regular Banach space net and abstract-valued Orlicz space of range-varying type

open access: yesOpen Mathematics, 2019
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
doaj   +1 more source

Some class of nonlinear inequalities with gradient constraints in Orlicz spaces

open access: yesMoroccan Journal of Pure and Applied Analysis, 2020
In the present paper, we show the existence of solutions of some nonlinear inequalities of the form 〈Au + g(x, u,∇ u), v −u〉 ≥〈 f, v −u〉 with gradient constraint that depend on the solution itself, where A is a Leray-Lions operator defined on Orlicz ...
Ajagjal S., Meskine D.
doaj   +1 more source

Talenti comparison results and rigidity results for anisotropic p-Laplacian operator with Robin boundary conditions

open access: yesAdvanced Nonlinear Studies
In this paper, we first establish the Talenti comparison principle for anisotropic p-Laplacian equation with Robin boundary conditions. This achievement not only extends classical Talenti comparison result for Laplacian equation with Robin boundary ...
Chen Lu, Yang Yabo
doaj   +1 more source

The molecular characterization of anisotropic Herz-type Hardy spaces with two variable exponents

open access: yesOpen Mathematics, 2020
In this article, the authors establish the characterizations of a class of anisotropic Herz-type Hardy spaces with two variable exponents associated with a non-isotropic dilation on ℝn{{\mathbb{R}}}^{n} in terms of molecular decompositions.
Guo Qingdong, Wang Wenhua
doaj   +1 more source

Introduction to the spectral theory of Toeplitz operators

open access: yesConcrete Operators
We provide a brief introduction to the spectral theory of Toeplitz operators on Hardy spaces built upon L p-spaces and their abstract generalisations.
Karlovych Oleksiy, Shargorodsky Eugene
doaj   +1 more source

The spectrum generated by s-numbers and pre-quasi normed Orlicz-Cesáro mean sequence spaces

open access: yesOpen Mathematics, 2020
In this article, we study some topological properties of the multiplication operator on Orlicz-Cesáro mean sequence spaces equipped with the pre-quasi norm and the pre-quasi operator ideal constructed by this sequence space and s-numbers.
Bakery Awad A.
doaj   +1 more source

Continuity and essential norm of operators defined by infinite tridiagonal matrices in weighted Orlicz and l∞ spaces

open access: yesOpen Mathematics
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
doaj   +1 more source

On non-reflexive subspaces of orlicz spaces

open access: yes, 2004
and Key words unavailable at this time...Mathematics Subject Classification (2000): 46B20, 46E30.
Echandía, Ventura, Bárcenas, Diómedes
core  

Maximal function and generalized fractional integral operators on the weighted Orlicz-Lorentz-Morrey spaces

open access: yesOpen Mathematics
We define the weighted Orlicz-Lorentz-Morrey and weak weighted Orlicz-Lorentz-Morrey spaces to generalize the Orlicz spaces, the weighted Lorentz spaces, the Orlicz-Lorentz spaces, and the Orlicz-Morrey spaces.
Li Hongliang
doaj   +1 more source

The strong Fatou property of risk measures

open access: yesDependence Modeling, 2018
In this paper, we explore several Fatou-type properties of risk measures. The paper continues to reveal that the strong Fatou property,whichwas introduced in [19], seems to be most suitable to ensure nice dual representations of risk measures.
Chen Shengzhong   +2 more
doaj   +1 more source

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