an:04059809
Zbl 0649.32004
Storozhenko, Eh. A.
Smoothness and derivatives of functions in \(H^ p(B^ n)\) spaces
RU
Vestn. Mosk. Univ., Ser. I 1988, No. 4, 13-16 (1988).
00168047
1988
j
32A35 32A40 41A17
\(H^ p\)-functions in \({bbfC}^ n\); modulus of continuity; Haar measure; derivatives
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 \({\mathbb{C}}^ n\).
T.Tonev