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...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Penerbit Universiti Kebangsaan Malaysia
2017
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| Online Access: | http://journalarticle.ukm.my/11358/ http://journalarticle.ukm.my/11358/1/01%20Vansak%20Sam.pdf |
| _version_ | 1848812699431993344 |
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| author | Vansak Sam, Kamthorn Chailuek, |
| author_facet | Vansak Sam, Kamthorn Chailuek, |
| author_sort | Vansak Sam, |
| building | UKM Institutional Repository |
| collection | Online Access |
| 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). |
| first_indexed | 2025-11-15T00:06:27Z |
| format | Article |
| id | oai:generic.eprints.org:11358 |
| institution | Universiti Kebangasaan Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T00:06:27Z |
| publishDate | 2017 |
| publisher | Penerbit Universiti Kebangsaan Malaysia |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | oai:generic.eprints.org: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 |
| spellingShingle | Vansak Sam, Kamthorn Chailuek, Hardy’s inequality for functions of several complex variables |
| title | 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_short | Hardy’s inequality for functions of several complex variables |
| title_sort | hardy’s inequality for functions of several complex variables |
| url | http://journalarticle.ukm.my/11358/ http://journalarticle.ukm.my/11358/ http://journalarticle.ukm.my/11358/1/01%20Vansak%20Sam.pdf |