Ontology type: schema:ScholarlyArticle
2019-02
AUTHORSGelu Popescu
ABSTRACTThe goal of this paper is to study the Bohr phenomenon in the setting of free holomorphic functions on noncommutative regular polydomains Dfm, f=(f1,…,fk), generated by positive regular free holomorphic functions. These polydomains are noncommutative analogues of the scalar polydomains Df1(C)×⋯×Dfk(C),where each Dfi(C)⊂Cni is a certain Reinhardt domain generated by fi. We characterize the free holomorphic functions on Dfm in terms of the universal model of the polydomain and extend several classical results from complex analysis to our noncommutative setting. It is shown that the free holomorphic functions admit multi-homogeneous and homogeneous expansions as power series in several variables. With respect to these expansions, we introduce the Bohr radii Kmh(Dfm) and Kh(Dfm) for the noncommutative Hardy space H∞(Df,radm) of all bounded free holomorphic functions on the radial part of Dfm. Several well-known results concerning the Bohr radius associated with classes of bounded holomorphic functions are extended to our noncommutative multivariable setting. More... »
PAGES7
http://scigraph.springernature.com/pub.10.1007/s00020-019-2505-7
DOIhttp://dx.doi.org/10.1007/s00020-019-2505-7
DIMENSIONShttps://app.dimensions.ai/details/publication/pub.1111949053
JSON-LD is the canonical representation for SciGraph data.
TIP: You can open this SciGraph record using an external JSON-LD service: JSON-LD Playground Google SDTT
[
{
"@context": "https://springernature.github.io/scigraph/jsonld/sgcontext.json",
"about": [
{
"id": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/0101",
"inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/",
"name": "Pure Mathematics",
"type": "DefinedTerm"
},
{
"id": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/01",
"inDefinedTermSet": "http://purl.org/au-research/vocabulary/anzsrc-for/2008/",
"name": "Mathematical Sciences",
"type": "DefinedTerm"
}
],
"author": [
{
"affiliation": {
"alternateName": "The University of Texas at San Antonio",
"id": "https://www.grid.ac/institutes/grid.215352.2",
"name": [
"Department of Mathematics, The University of Texas at San Antonio, 78249, San Antonio, TX, USA"
],
"type": "Organization"
},
"familyName": "Popescu",
"givenName": "Gelu",
"type": "Person"
}
],
"citation": [
{
"id": "https://doi.org/10.1016/j.aim.2014.07.029",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1003055070"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1090/s0002-9939-97-04270-6",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1008762718"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1090/s0002-9947-07-04170-0",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1015913912"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1515/crll.1916.146.53",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1016142094"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1112/s0024611502013692",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1017385540"
],
"type": "CreativeWork"
},
{
"id": "sg:pub.10.1007/bf01171120",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1019072371",
"https://doi.org/10.1007/bf01171120"
],
"type": "CreativeWork"
},
{
"id": "sg:pub.10.1023/b:simj.0000035827.35563.b6",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1024863939",
"https://doi.org/10.1023/b:simj.0000035827.35563.b6"
],
"type": "CreativeWork"
},
{
"id": "sg:pub.10.1007/bf01475487",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1025475699",
"https://doi.org/10.1007/bf01475487"
],
"type": "CreativeWork"
},
{
"id": "sg:pub.10.1007/bf01475487",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1025475699",
"https://doi.org/10.1007/bf01475487"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1016/j.aim.2015.02.016",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1028698832"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1112/s0024609306019084",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1037565238"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1090/s0002-9939-99-05084-4",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1039542114"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1112/plms/s2-13.1.1",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1039627679"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1002/mana.3210040124",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1040112791"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1016/j.jfa.2013.07.015",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1044604288"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1016/j.aim.2012.07.016",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1044613487"
],
"type": "CreativeWork"
},
{
"id": "https://app.dimensions.ai/details/publication/pub.1046055530",
"type": "CreativeWork"
},
{
"id": "sg:pub.10.1007/978-3-642-71438-2",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1046055530",
"https://doi.org/10.1007/978-3-642-71438-2"
],
"type": "CreativeWork"
},
{
"id": "sg:pub.10.1007/978-3-642-71438-2",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1046055530",
"https://doi.org/10.1007/978-3-642-71438-2"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1006/jfan.1998.3346",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1046120528"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1090/tran/6466",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1059351363"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.2140/apde.2016.9.1185",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1069059628"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.4007/annals.2011.174.1.13",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1071867343"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.7146/math.scand.a-10653",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1073612784"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.7900/jot.2015dec12.2088",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1074123288"
],
"type": "CreativeWork"
},
{
"id": "https://doi.org/10.1515/crelle-2014-0103",
"sameAs": [
"https://app.dimensions.ai/details/publication/pub.1090514926"
],
"type": "CreativeWork"
}
],
"datePublished": "2019-02",
"datePublishedReg": "2019-02-01",
"description": "The goal of this paper is to study the Bohr phenomenon in the setting of free holomorphic functions on noncommutative regular polydomains Dfm, f=(f1,\u2026,fk), generated by positive regular free holomorphic functions. These polydomains are noncommutative analogues of the scalar polydomains Df1(C)\u00d7\u22ef\u00d7Dfk(C),where each Dfi(C)\u2282Cni is a certain Reinhardt domain generated by fi. We characterize the free holomorphic functions on Dfm in terms of the universal model of the polydomain and extend several classical results from complex analysis to our noncommutative setting. It is shown that the free holomorphic functions admit multi-homogeneous and homogeneous expansions as power series in several variables. With respect to these expansions, we introduce the Bohr radii Kmh(Dfm) and Kh(Dfm) for the noncommutative Hardy space H\u221e(Df,radm) of all bounded free holomorphic functions on the radial part of Dfm. Several well-known results concerning the Bohr radius associated with classes of bounded holomorphic functions are extended to our noncommutative multivariable setting.",
"genre": "research_article",
"id": "sg:pub.10.1007/s00020-019-2505-7",
"inLanguage": [
"en"
],
"isAccessibleForFree": false,
"isFundedItemOf": [
{
"id": "sg:grant.4108359",
"type": "MonetaryGrant"
}
],
"isPartOf": [
{
"id": "sg:journal.1136245",
"issn": [
"0378-620X",
"1420-8989"
],
"name": "Integral Equations and Operator Theory",
"type": "Periodical"
},
{
"issueNumber": "1",
"type": "PublicationIssue"
},
{
"type": "PublicationVolume",
"volumeNumber": "91"
}
],
"name": "Bohr Inequalities on Noncommutative Polydomains",
"pagination": "7",
"productId": [
{
"name": "readcube_id",
"type": "PropertyValue",
"value": [
"976b9d9f1c0270a8cc220751447d8e22a8595e7f4e26530c144b07e0ea065d9f"
]
},
{
"name": "doi",
"type": "PropertyValue",
"value": [
"10.1007/s00020-019-2505-7"
]
},
{
"name": "dimensions_id",
"type": "PropertyValue",
"value": [
"pub.1111949053"
]
}
],
"sameAs": [
"https://doi.org/10.1007/s00020-019-2505-7",
"https://app.dimensions.ai/details/publication/pub.1111949053"
],
"sdDataset": "articles",
"sdDatePublished": "2019-04-11T09:09",
"sdLicense": "https://scigraph.springernature.com/explorer/license/",
"sdPublisher": {
"name": "Springer Nature - SN SciGraph project",
"type": "Organization"
},
"sdSource": "s3://com-uberresearch-data-dimensions-target-20181106-alternative/cleanup/v134/2549eaecd7973599484d7c17b260dba0a4ecb94b/merge/v9/a6c9fde33151104705d4d7ff012ea9563521a3ce/jats-lookup/v90/0000000338_0000000338/records_47966_00000002.jsonl",
"type": "ScholarlyArticle",
"url": "https://link.springer.com/10.1007%2Fs00020-019-2505-7"
}
]
Download the RDF metadata as: json-ld nt turtle xml License info
JSON-LD is a popular format for linked data which is fully compatible with JSON.
curl -H 'Accept: application/ld+json' 'https://scigraph.springernature.com/pub.10.1007/s00020-019-2505-7'
N-Triples is a line-based linked data format ideal for batch operations.
curl -H 'Accept: application/n-triples' 'https://scigraph.springernature.com/pub.10.1007/s00020-019-2505-7'
Turtle is a human-readable linked data format.
curl -H 'Accept: text/turtle' 'https://scigraph.springernature.com/pub.10.1007/s00020-019-2505-7'
RDF/XML is a standard XML format for linked data.
curl -H 'Accept: application/rdf+xml' 'https://scigraph.springernature.com/pub.10.1007/s00020-019-2505-7'
This table displays all metadata directly associated to this object as RDF triples.
137 TRIPLES
21 PREDICATES
51 URIs
19 LITERALS
7 BLANK NODES