GENERALIZED LITTLEWOOD PROBLEM

摘要

A new family of Littlewood-Paley type g-functions is denned and the related L~p-inequalities are proved for n-harmonic and holomorphic functions on the unit polydisc of C~n. The paper generalizes and improves the results of the author's recent work, that gave a positive answer to Littlewood's question on extension of L~p-inequalities to the case of several complex variables.