×

zbMATH — the first resource for mathematics

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’skiń≠-type inequalities)
PDF BibTeX XML Cite