Radial Fourier multipliers of L(R).
We give sufficient conditions (in terms of differentiability and growth properties) for a radial function to be an L(p)(R(2)) Fourier multiplier. These conditions are in the nature of best possible.
Carbery
A
A
Mathematics Department, University of Chicago, Chicago, IL 60637.
Gasper
G
G
Trebels
W
W