Vansak Sam, and Kamthorn Chailuek, (2017) Hardy’s inequality for functions of several complex variables. Sains Malaysiana, 46 (9). pp. 13551359. ISSN 01266039

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Abstract
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 multiindices {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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