Homogeneous Fourier multipliers in the plane

Duoandikoetxea, Javier; Moyua, Adela

doi:10.1090/S0002-9939-1991-1057743-3

Homogeneous Fourier multipliers in the plane
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by Javier Duoandikoetxea and Adela Moyua PDF

Proc. Amer. Math. Soc. 112 (1991), 441-449 Request permission

Abstract:

Given a homogeneous of degree zero function on the plane, we study conditions on the first derivative of its restriction to the unit circle in order to deduce that it is an ${L^p}$-multiplier.

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