Let be real numbers such that and let a mixed homogeneous function. We consider polynomial functions and also functions of the type Let with the Lebesgue induced measure. For and let where denotes the usual Fourier transform.
For a large class of functions and for we characterize, up to endpoints, the pairs such that is a bounded operator from on We also give some sharp estimates.
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be real numbers such that 
and let 
a mixed homogeneous function. We consider polynomial functions 
and also functions of the type 
Let 
with the Lebesgue induced measure. For 
and 
let 
where 
denotes the usual Fourier transform. 
we characterize, up to endpoints, the pairs 
such that 
is a bounded operator from 
on 
We also give some sharp 
estimates.
