Journal of Mathematical Sciences: Advances and ApplicationsAuthor's: Miroslav Pavlović
Pages: [1] - [14]
Received Date: March 23, 2014
Submitted by:
We present some inequalities for the Taylor coefficients of a Hardy-Orlicz function, which in the case of the standard Hardy spaces reduce to the inequalities of Hardy and Littlewood. The proofs are new and elementary even in the case of the classical Hardy spaces. We also prove a Marcinkiewicz type theorem that extends a theorem of Kislyakov and Xu. At the end, we prove a Hardy-Prawitz criterion for membership of a univalent function in a Hardy-Orlicz space.
Orlicz spaces, Hardy-Orlicz spaces, Taylor coefficients, interpolation of linear operators.
