Hardy’s inequality for functions of several complex variables

Vansak Sam, and Kamthorn Chailuek, (2017) Hardy’s inequality for functions of several complex variables. Sains Malaysiana, 46 (9). pp. 1355-1359. ISSN 0126-6039


Official URL: http://www.ukm.my/jsm/english_journals/vol46num9_2...


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 in H1 (Bd), then ≤ Moreover, our proof shows that this inequality is also valid for functions in Hardy space on the polydisk H1 (Bd).

Item Type:Article
Keywords:Hardy’s inequality; Hardy space and Hilbert’s inequality
Journal:Sains Malaysiana
ID Code:11358
Deposited By: ms aida -
Deposited On:12 Feb 2018 01:12
Last Modified:12 Feb 2018 01:12

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