Convolution estimates for some measures on curves

Oberlin, Daniel M.

doi:10.1090/S0002-9939-1987-0866429-6

Convolution estimates for some measures on curves
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by Daniel M. Oberlin

Proc. Amer. Math. Soc. 99 (1987), 56-60

DOI: https://doi.org/10.1090/S0002-9939-1987-0866429-6

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Abstract:

Suppose that $\lambda$ is a smooth measure on a curve in ${R^3}$. It is shown that $\lambda * {L^p}({R^3}) \subset {L^q}({R^3})$ under certain conditions on $\lambda ,p$ and $q$.

References

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