𝐿^{𝑝}-boundedness of a certain class of multipliers associated with curves on the plane. I

Ruiz, Alberto

doi:10.1090/S0002-9939-1983-0681833-3

$L^{p}$-boundedness of a certain class of multipliers associated with curves on the plane. I
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by Alberto Ruiz

Proc. Amer. Math. Soc. 87 (1983), 271-276

DOI: https://doi.org/10.1090/S0002-9939-1983-0681833-3

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Abstract:

${L^p}$-unboundedness for $p \ne 2$ is proved in the case of multipliers which are constant along curves. In particular $y = {x^n}$ is included in the range of curves.

References

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The non-existence of

estimates for certain translation invariant operators

30

Some open question

Multiplicadores asociados a curvas en el plano

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