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Hankel multiplier transformations and weighted $p$-norms

Hankel multiplier transformations and weighted $p$-norms

for the Fourier transform of f(x), we have the familiar formula (3) ff * g] A (Y) = fA (Y)gA (Y) by Fubini's theorem. Consider a transformation T of functions on (oc, co) to functions on (-oo, oo ) such that (4) T[f* g] = T[f] * g = f …