Note on the variable exponent Lebesgue function spaces close to L∞

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:474

Article

Kopaliani, Tengiz¹  Zviadadze, Shalva¹ 

[1] Javakhishvili Tbilisi State Univ, Fac Exact & Nat Sci, 13 Univ St, GE-0143 Tbilisi, Georgia

关键词: Variable exponent Lebesgue space;    Decreasing rearrangement;   

DOI  :  10.1016/j.jmaa.2019.02.029

来源: Elsevier

【 摘 要 】

In this paper we characterize those exponents p(.) for which corresponding variable exponent Lebesgue space L-P(.)([0; 1]) has in common with L-infinity the property that the space of continuous functions is a closed linear subspace in it. In particular, we obtain necessary and sufficient condition on decreasing rearrangement of exponent p(.) for which exists equimeasurable exponent of p(.) which corresponding variable exponent Lebesgue space have the above mentioned property. (C) 2019 Elsevier Inc. All rights reserved.

【 授权许可】

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