Multi-linear Operators given by Singular Multipliers
نویسنده
چکیده
When n = 2, T is a Fourier multiplier, and it is well known that such operators are bounded on L, 1 < p < ∞, if m is a symbol of order 0. Coifman and Meyer [2]–[7], Kenig and Stein [14], and Grafakos and Torres [12] extended this result to the n > 2 case, showing that one had the mapping properties T : L1 × . . .× Ln−1 → Lpn (3) whenever 1 < pi ≤ ∞ (4) for i = 1, . . . , n− 1, 1/(n− 1) < pn <∞, (5)
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