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...
Saved in:
| Main Authors: | , |
|---|---|
| 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 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Institution: | Universiti Kebangsaan Malaysia |
| Language: | English |
| id |
my-ukm.journal.11358 |
|---|---|
| record_format |
eprints |
| spelling |
my-ukm.journal.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 |
| institution |
Universiti Kebangsaan Malaysia |
| building |
Perpustakaan Tun Sri Lanang Library |
| collection |
Institutional Repository |
| continent |
Asia |
| country |
Malaysia |
| content_provider |
Universiti Kebangsaan Malaysia |
| content_source |
UKM Journal Article Repository |
| url_provider |
http://journalarticle.ukm.my/ |
| 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/11358/1/01%20Vansak%20Sam.pdf http://journalarticle.ukm.my/11358/ http://www.ukm.my/jsm/english_journals/vol46num9_2017/contentsVol46num9_2017.html |
| _version_ |
1643738465772240896 |