N(p, s)-type spaces in the unit ball of C~n(III): various characterizations

摘要

The purpose of this paper is to study various characterizations of a new class of function spaces, called N(p, q, s)-type spaces, in the unit ball B of C~n,via different notions of derivatives. As a corollary, a version of Korenblum's inequality for N(p, q, s)-type functions was established. Moreover, the mixture and oscillation characterizations of N(p, q, s)-type spaces are also investigated.