Let M = {m(j)}(j=1)(infinity) be a family of Marcinkiewicz multipliers of sufficient uniform smoothness in . We show that the L (p) norm, 1 < p < a, of the related maximal operator is at most C(log(N+2)) (n/2). We show that this bound is sharp.
Let M = {m(j)}(j=1)(infinity) be a family of Marcinkiewicz multipliers of sufficient uniform smoothness in . We show that the L (p) norm, 1 < p < a, of the related maximal operator is at most C(log(N+2)) (n/2). We show that this bound is sharp. (en)