Some necessary conditions for radial Fourier multipliers

Trebels, Walter

doi:10.1090/S0002-9939-1976-0412716-8

Some necessary conditions for radial Fourier multipliers
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Proc. Amer. Math. Soc. 58 (1976), 97-103 Request permission

Abstract:

Necessary conditions in terms of differentiability and growth properties for a radial function $m(|z|)$ to be a Fourier multiplier of type $(p,q)$ are given and compared with sufficient ones.

References

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