Hardy’s inequality for functions of several complex variables

• Main Authors: Vansak Sam, Kamthorn Chailuek
• Format: Article
• Language: English
• Published: Penerbit Universiti Kebangsaan Malaysia 2017
• Online Access: http://journalarticle.ukm.my/11358/1/01%20Vansak%20Sam.pdf; http://journalarticle.ukm.my/11358/; http://www.ukm.my/jsm/english_journals/vol46num9_2017/contentsVol46num9_2017.html
• Institution: Universiti Kebangsaan Malaysia

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 function...