Weighted Norm Inequalities for Fourier Transforms of Radial Functions
نویسنده
چکیده
Weighted L(R)→ L(R) Fourier inequalities are studied. We prove Pitt–Boas type results on integrability with general weights of the Fourier transform of a radial function.
منابع مشابه
Weighted norm inequalities for integral transforms
Weighted (L, L) inequalities are studied for a variety of integral transforms of Fourier type. In particular, weighted norm inequalities for the Fourier, Hankel, and Jacobi transforms are derived from Calderón type rearrangement estimates. The obtained results keep their novelty even in the simplest cases of the studied transforms, the cosine and sine Fourier transforms. Sharpness of the condit...
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