Results 81 to 90 of about 2,764 (144)

A Note on Self-extremal Sets in $L_p(\Om)$ Spaces [PDF]

arXiv, 2004
We give a geometric characterization of self-extremal sets in $L_p(\Om)$ spaces that partially extends our previous results to the case of $L_p$\ spaces.
arxiv  

Necessary and sufficient condition for compactness of the embedding operator [PDF]

arXiv, 2005
An improvement of the author's result, proved in 1961, concerning necessary and sufficient conditions for the compactness of an imbedding operator is given.
arxiv  

Grand Triebel-Lizorkin-Morrey spaces

Demonstratio Mathematica
This article studies the Triebel-Lizorkin-type spaces built on grand Morrey spaces on Euclidean spaces. We establish a number of characterizations on the grand Triebel-Lizorkin-Morrey spaces such as the Peetre maximal function characterizations, the ...
Ho Kwok-Pun
doaj   +1 more source

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

Open 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

An Order Theoretic Approach to the Banach Contraction Principle in Modular Spaces [PDF]

arXiv, 2013
In the present note, the Banach contraction principle is proved in complete modular spaces via an order theoretic approach.
arxiv  

The Riesz-Kolmogorov theorem on metric spaces

, 2014
We study precompact sets inLp.X; /, where .X; / is a metric measure space. Using Vitali and maximal function theorems we establish a full characterization of such sets.
P. Górka, Anna Macios
semanticscholar   +1 more source

The strong Fatou property of risk measures

Dependence 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, Gao Niushan, Xanthos Foivos   +2 more
doaj   +1 more source

Application of Capacities to Space-Time Fractional Dissipative Equations II: Carleson Measure Characterization for Lq(ℝ+n+1,μ)L^q (\mathbb{R}_ + ^{n + 1} ,\mu )−Extension

Advances in Nonlinear Analysis, 2022
This paper provides the Carleson characterization of the extension of fractional Sobolev spaces and Lebesgue spaces to Lq(ℝ+n+1,μ)L^q (\mathbb{R}_ + ^{n + 1} ,\mu ) via space-time fractional equations.
Li Pengtao, Zhai Zhichun
doaj   +1 more source

Lyapunov theorem for q-concave Banach spaces [PDF]

arXiv, 2013
Generalization of Lyapunov convexity theorem is proved for vector measure with values in Banach spaces with unconditional bases, which are q-concave for some $q<\infty.$
arxiv  

The weak Banach-Saks property for function spaces [PDF]

arXiv, 2015
We establish the weak Banach-Saks property for function spaces arising as the optimal domain of an operator.
arxiv