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 function...
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Penerbit Universiti Kebangsaan Malaysia
2017
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| Online Access: | http://journalarticle.ukm.my/11358/ http://journalarticle.ukm.my/11358/ http://journalarticle.ukm.my/11358/1/01%20Vansak%20Sam.pdf |
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ukm-113582018-02-12T01:12:02Z http://journalarticle.ukm.my/11358/ Hardy’s inequality for functions of several complex variables Vansak Sam, Kamthorn Chailuek, 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). Penerbit Universiti Kebangsaan Malaysia 2017-09 Article NonPeerReviewed application/pdf en http://journalarticle.ukm.my/11358/1/01%20Vansak%20Sam.pdf 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 http://www.ukm.my/jsm/english_journals/vol46num9_2017/contentsVol46num9_2017.html |
| repository_type |
Digital Repository |
| institution_category |
Local University |
| institution |
Universiti Kebangasaan Malaysia |
| building |
UKM Institutional Repository |
| collection |
Online Access |
| language |
English |
| description |
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). |
| format |
Article |
| author |
Vansak Sam, Kamthorn Chailuek, |
| spellingShingle |
Vansak Sam, Kamthorn Chailuek, Hardy’s inequality for functions of several complex variables |
| author_facet |
Vansak Sam, Kamthorn Chailuek, |
| author_sort |
Vansak Sam, |
| title |
Hardy’s inequality for functions of several complex variables |
| title_short |
Hardy’s inequality for functions of several complex variables |
| title_full |
Hardy’s inequality for functions of several complex variables |
| title_fullStr |
Hardy’s inequality for functions of several complex variables |
| title_full_unstemmed |
Hardy’s inequality for functions of several complex variables |
| title_sort |
hardy’s inequality for functions of several complex variables |
| publisher |
Penerbit Universiti Kebangsaan Malaysia |
| publishDate |
2017 |
| url |
http://journalarticle.ukm.my/11358/ http://journalarticle.ukm.my/11358/ http://journalarticle.ukm.my/11358/1/01%20Vansak%20Sam.pdf |
| first_indexed |
2023-09-18T20:00:05Z |
| last_indexed |
2023-09-18T20:00:05Z |
| _version_ |
1777406789657034752 |