On pointwise a.e. convergence of multilinear operators

Abstrakt

In this work, we obtain the pointwise almost everywhere convergence for two families of multilinear operators: (a) the doubly truncated homogeneous singular integral operators associated with L-q functions on the sphere and (b) lacunary multiplier operators of limited smoothness. The a.e. convergence is deduced from the L-2 x. x L-2 -> L-2/m boundedness of the associated maximal multilinear operators.

Klíčová slova

• multilinear operator