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Smoothness and derivatives of functions in $$H^ p(B^ n)$$ spaces. (Russian) Zbl 0649.32004
By making use of suitable k-modules of continuity connected with some subsets of the group of unitary operators in $${\mathbb{C}}^ n$$ it is investigated the connection between behaviour of certain derivatives (radial and orthogonal to $$O_ z$$ ones) and smoothness of boundary values of $$H^ p$$-functions $$(0<p\leq \infty)$$ in the unit ball of $${\mathbb{C}}^ n$$.
Reviewer: T.Tonev

MSC:
 32A35 $$H^p$$-spaces, Nevanlinna spaces of functions in several complex variables 32A40 Boundary behavior of holomorphic functions of several complex variables 41A17 Inequalities in approximation (Bernstein, Jackson, Nikol’skiĭ-type inequalities)