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$L\sp{p}$ estimates for integral transforms

$L\sp{p}$ estimates for integral transforms

and tries to prove (f Tf=(x)I dx)lI < Mp q(f I f(x) I P dx)11P for all f E LP, for certain values of p and q. We call this a (p, q) estimate for K. We single out three classes of such results. First there are what we may …