Marcinkiewicz multiplier theorem for the Weyl functional calculus

摘要

Let {X (j) , Y (j) , T : 1 <= j <= n} be a basis satisfying the commutation relation for the Heisenberg Lie algebra eta(n). Then we obtain a multi-parameter Marcinkiewicz multiplier theorem for the operator defined by m(X-1, ..., X (n) , Y-1, ..., Y-n , T).