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- W47448780 abstract "We give a short discussion of known statements on compactness of operators in variable exponent Lebesgue spaces L p (·)(Ω, ϱ) and show that the existence of a radial integrable decreasing dominant of the kernel of a convolution operator guarantees its compactness in the space L p (·)(Ω, ϱ) whenever the maximal operator is bounded in this space, where |Ω| < ∞ and ϱ is an arbitrary weight such that L p (·)(Ω, ϱ) is a Banach function space. In the non-weighted case ϱ = 1 we also give a modification of this statement for Ω = ℝn." @default.
- W47448780 created "2016-06-24" @default.
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- W47448780 date "2010-01-01" @default.
- W47448780 modified "2023-09-26" @default.
- W47448780 title "On Compactness of Operators in Variable Exponent Lebesgue Spaces" @default.
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- W47448780 doi "https://doi.org/10.1007/978-3-0346-0158-0_28" @default.
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