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- W1845313025 abstract "Smoothness of a function $f:mathbb{R}^ntomathbb{R}$ can be measured in terms of the rate of convergence of $f*rho_{epsilon}$ to $f$, where $rho$ is an appropriate mollifier. In the framework of fractional Sobolev spaces, we characterize the 'appropriate' mollifiers. We also obtain sufficient conditions, close to being necessary, which ensure that $rho$ is adapted to a given scale of spaces. Finally, we examine in detail the case where $rho$ is a characteristic function." @default.
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- W1845313025 date "2015-05-01" @default.
- W1845313025 modified "2023-10-15" @default.
- W1845313025 title "Characterization of function spaces via low regularity mollifiers" @default.
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- W1845313025 doi "https://doi.org/10.3934/dcds.2015.35.6015" @default.
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