Variable Exponent Function Spaces related to a Sublinear Expectation

In this paper, variable exponent function spaces Lp·, Lbp·, and Lcp· are introduced in the framework of sublinear expectation, and some basic and important properties of these spaces are given. A version of Kolmogorov’s criterion on variable exponent function spaces is proved for continuous modifica...

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Main Author:	Bochi Xu
Format:	Article
Language:	English
Published:	Hindawi Limited 2020-01-01
Series:	Abstract and Applied Analysis
Online Access:	http://dx.doi.org/10.1155/2020/1734174

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spelling	doaj-96ecc02f69c248fabb08c193c52333052020-11-25T01:44:36ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092020-01-01202010.1155/2020/17341741734174Variable Exponent Function Spaces related to a Sublinear ExpectationBochi Xu0Department of Mathematics, Huaqiao University, Quanzhou 362021, ChinaIn this paper, variable exponent function spaces Lp·, Lbp·, and Lcp· are introduced in the framework of sublinear expectation, and some basic and important properties of these spaces are given. A version of Kolmogorov’s criterion on variable exponent function spaces is proved for continuous modification of stochastic processes.http://dx.doi.org/10.1155/2020/1734174
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Bochi Xu
spellingShingle	Bochi Xu Variable Exponent Function Spaces related to a Sublinear Expectation Abstract and Applied Analysis
author_facet	Bochi Xu
author_sort	Bochi Xu
title	Variable Exponent Function Spaces related to a Sublinear Expectation
title_short	Variable Exponent Function Spaces related to a Sublinear Expectation
title_full	Variable Exponent Function Spaces related to a Sublinear Expectation
title_fullStr	Variable Exponent Function Spaces related to a Sublinear Expectation
title_full_unstemmed	Variable Exponent Function Spaces related to a Sublinear Expectation
title_sort	variable exponent function spaces related to a sublinear expectation
publisher	Hindawi Limited
series	Abstract and Applied Analysis
issn	1085-3375 1687-0409
publishDate	2020-01-01
description	In this paper, variable exponent function spaces Lp·, Lbp·, and Lcp· are introduced in the framework of sublinear expectation, and some basic and important properties of these spaces are given. A version of Kolmogorov’s criterion on variable exponent function spaces is proved for continuous modification of stochastic processes.
url	http://dx.doi.org/10.1155/2020/1734174
work_keys_str_mv	AT bochixu variableexponentfunctionspacesrelatedtoasublinearexpectation
_version_	1715678281069494272

Variable Exponent Function Spaces related to a Sublinear Expectation

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