Hardy's inequality for functions of several complex variables

We obtain a generalization of Hardy's inequality for functions in the Hardy space H1 (Bd), where Bd is the unit ball {z = (z1, ..., zd) ∈ In particular, we construct a function φ on the set of d -dimensional multi-indices {n = (n1, ..., nd) | ni ∈   {0}} and prove that if f(z) = Σ anzn is a f...

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Bibliographic Details
Main Authors: Vansak Sam (Author), Kamthorn Chailuek (Author)
Format: Article
Language:English
Published: Penerbit Universiti Kebangsaan Malaysia, 2017-09.
Online Access:Get fulltext