We prove that the operators integral (R42) e(ixa.yb) phi (x, y) f(y) dy map L-p(R-2) into itself for p is an element of J = [aj + bj/aj+(bjr/2), aj+bj/aj(1 - r/2)] if a(l), b(l) greater than or equal to 1 and phi (x, y) = x - y (-r), 0 less than or equal to r < 2, the result is sharp. Generalizations to dimensions d > 2 are indicated. [References: 11]
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