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- W4387355906 abstract "In this paper, we generalize a recently obtained result by Kopaliani and Zviadadze from the one-variable case to the several-variable case. Specifically, in terms of decreasing rearrangement, we characterize those exponents $p(cdot)$ for which the corresponding variable-exponent Lebesgue space $L^{p(cdot)}([0;1]^n)$ shares the property with $L^infty([0;1]^n)$ such that the space of continuous functions $C([0;1]^n)$ forms a closed linear subspace in $L^{p(cdot)}([0;1]^n)$ . In particular, we derive the necessary and sufficient conditions on the decreasing rearrangement of the exponent $p(cdot)$ for which there exists an equimeasurable exponent of $p(cdot)$ such that the corresponding variable-exponent Lebesgue space possesses the aforementioned property." @default.
- W4387355906 created "2023-10-05" @default.
- W4387355906 creator A5088387575 @default.
- W4387355906 date "2023-10-03" @default.
- W4387355906 modified "2023-10-06" @default.
- W4387355906 title "The Note on the Closure of Continuous Functions in Variable-Exponent Lebesgue Spaces for Multiple Variables" @default.
- W4387355906 doi "https://doi.org/10.48550/arxiv.2310.01817" @default.
- W4387355906 hasPublicationYear "2023" @default.
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