439 research outputs found
Sharp estimates of unimodular Fourier multipliers on Wiener amalgam spaces
We study the boundedness on the Wiener amalgam spaces of Fourier
multipliers with symbols of the type , for some real-valued
functions whose prototype is with .
Under some suitable assumptions on , we give the characterization of
boundedness of , for arbitrary
pairs of . Our results are an essential improvement of the
previous known results, for both sides of sufficiency and necessity, even for
the special case with
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