Sets of Uniqueness, Weakly Sufficient Sets and Sampling Sets for Weighted Spaces of Holomorphic Functions in the Unit Ball
Abstract We consider, in a quite general setting, inductive limits of weighted spaces of holomorphic functions in the unit ball of $${{\mathbb {C}}}^n$$. The relationship between sets of uniqueness, weakly sufficient sets and sampling sets in these spaces is studied. In particular, the equivalence o...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Hu, Bingyang [verfasserIn] |
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| Format: |
Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2021 |
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| Schlagwörter: |
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| Anmerkung: |
© This is a U.S. government work and not under copyright protection in the U.S.; foreign copyright protection may apply 2021 |
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| Übergeordnetes Werk: |
Enthalten in: Complex analysis and operator theory - Springer International Publishing, 2007, 16(2021), 1 vom: 29. Nov. |
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| Übergeordnetes Werk: |
volume:16 ; year:2021 ; number:1 ; day:29 ; month:11 |
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| DOI / URN: |
10.1007/s11785-021-01144-0 |
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| 520 | |a Abstract We consider, in a quite general setting, inductive limits of weighted spaces of holomorphic functions in the unit ball of $${{\mathbb {C}}}^n$$. The relationship between sets of uniqueness, weakly sufficient sets and sampling sets in these spaces is studied. In particular, the equivalence of these sets, under some conditions of the weights, is obtained. | ||
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| 650 | 4 | |a Weakly sufficient sets | |
| 650 | 4 | |a Sampling sets | |
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10.1007/s11785-021-01144-0 doi (DE-627)OLC2077550007 (DE-He213)s11785-021-01144-0-p DE-627 ger DE-627 rakwb eng 510 VZ 510 VZ 17,1 ssgn Hu, Bingyang verfasserin aut Sets of Uniqueness, Weakly Sufficient Sets and Sampling Sets for Weighted Spaces of Holomorphic Functions in the Unit Ball 2021 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © This is a U.S. government work and not under copyright protection in the U.S.; foreign copyright protection may apply 2021 Abstract We consider, in a quite general setting, inductive limits of weighted spaces of holomorphic functions in the unit ball of $${{\mathbb {C}}}^n$$. The relationship between sets of uniqueness, weakly sufficient sets and sampling sets in these spaces is studied. In particular, the equivalence of these sets, under some conditions of the weights, is obtained. Weighted spaces Holomorphic functions Unit ball Sets of uniqueness Weakly sufficient sets Sampling sets Khoi, Le Hai aut Enthalten in Complex analysis and operator theory Springer International Publishing, 2007 16(2021), 1 vom: 29. Nov. (DE-627)565301047 (DE-600)2425163-X (DE-576)409490164 1661-8254 nnns volume:16 year:2021 number:1 day:29 month:11 https://doi.org/10.1007/s11785-021-01144-0 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT AR 16 2021 1 29 11 |
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10.1007/s11785-021-01144-0 doi (DE-627)OLC2077550007 (DE-He213)s11785-021-01144-0-p DE-627 ger DE-627 rakwb eng 510 VZ 510 VZ 17,1 ssgn Hu, Bingyang verfasserin aut Sets of Uniqueness, Weakly Sufficient Sets and Sampling Sets for Weighted Spaces of Holomorphic Functions in the Unit Ball 2021 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © This is a U.S. government work and not under copyright protection in the U.S.; foreign copyright protection may apply 2021 Abstract We consider, in a quite general setting, inductive limits of weighted spaces of holomorphic functions in the unit ball of $${{\mathbb {C}}}^n$$. The relationship between sets of uniqueness, weakly sufficient sets and sampling sets in these spaces is studied. In particular, the equivalence of these sets, under some conditions of the weights, is obtained. Weighted spaces Holomorphic functions Unit ball Sets of uniqueness Weakly sufficient sets Sampling sets Khoi, Le Hai aut Enthalten in Complex analysis and operator theory Springer International Publishing, 2007 16(2021), 1 vom: 29. Nov. (DE-627)565301047 (DE-600)2425163-X (DE-576)409490164 1661-8254 nnns volume:16 year:2021 number:1 day:29 month:11 https://doi.org/10.1007/s11785-021-01144-0 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT AR 16 2021 1 29 11 |
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10.1007/s11785-021-01144-0 doi (DE-627)OLC2077550007 (DE-He213)s11785-021-01144-0-p DE-627 ger DE-627 rakwb eng 510 VZ 510 VZ 17,1 ssgn Hu, Bingyang verfasserin aut Sets of Uniqueness, Weakly Sufficient Sets and Sampling Sets for Weighted Spaces of Holomorphic Functions in the Unit Ball 2021 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © This is a U.S. government work and not under copyright protection in the U.S.; foreign copyright protection may apply 2021 Abstract We consider, in a quite general setting, inductive limits of weighted spaces of holomorphic functions in the unit ball of $${{\mathbb {C}}}^n$$. The relationship between sets of uniqueness, weakly sufficient sets and sampling sets in these spaces is studied. In particular, the equivalence of these sets, under some conditions of the weights, is obtained. Weighted spaces Holomorphic functions Unit ball Sets of uniqueness Weakly sufficient sets Sampling sets Khoi, Le Hai aut Enthalten in Complex analysis and operator theory Springer International Publishing, 2007 16(2021), 1 vom: 29. Nov. (DE-627)565301047 (DE-600)2425163-X (DE-576)409490164 1661-8254 nnns volume:16 year:2021 number:1 day:29 month:11 https://doi.org/10.1007/s11785-021-01144-0 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-MAT SSG-OPC-MAT AR 16 2021 1 29 11 |
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Sets of Uniqueness, Weakly Sufficient Sets and Sampling Sets for Weighted Spaces of Holomorphic Functions in the Unit Ball |
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Abstract We consider, in a quite general setting, inductive limits of weighted spaces of holomorphic functions in the unit ball of $${{\mathbb {C}}}^n$$. The relationship between sets of uniqueness, weakly sufficient sets and sampling sets in these spaces is studied. In particular, the equivalence of these sets, under some conditions of the weights, is obtained. © This is a U.S. government work and not under copyright protection in the U.S.; foreign copyright protection may apply 2021 |
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Abstract We consider, in a quite general setting, inductive limits of weighted spaces of holomorphic functions in the unit ball of $${{\mathbb {C}}}^n$$. The relationship between sets of uniqueness, weakly sufficient sets and sampling sets in these spaces is studied. In particular, the equivalence of these sets, under some conditions of the weights, is obtained. © This is a U.S. government work and not under copyright protection in the U.S.; foreign copyright protection may apply 2021 |
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Abstract We consider, in a quite general setting, inductive limits of weighted spaces of holomorphic functions in the unit ball of $${{\mathbb {C}}}^n$$. The relationship between sets of uniqueness, weakly sufficient sets and sampling sets in these spaces is studied. In particular, the equivalence of these sets, under some conditions of the weights, is obtained. © This is a U.S. government work and not under copyright protection in the U.S.; foreign copyright protection may apply 2021 |
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<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01000caa a22002652 4500</leader><controlfield tag="001">OLC2077550007</controlfield><controlfield tag="003">DE-627</controlfield><controlfield tag="005">20230505213053.0</controlfield><controlfield tag="007">tu</controlfield><controlfield tag="008">221220s2021 xx ||||| 00| ||eng c</controlfield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1007/s11785-021-01144-0</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-627)OLC2077550007</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-He213)s11785-021-01144-0-p</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-627</subfield><subfield code="b">ger</subfield><subfield code="c">DE-627</subfield><subfield code="e">rakwb</subfield></datafield><datafield tag="041" ind1=" " ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="082" ind1="0" ind2="4"><subfield code="a">510</subfield><subfield code="q">VZ</subfield></datafield><datafield tag="082" ind1="0" ind2="4"><subfield code="a">510</subfield><subfield code="q">VZ</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">17,1</subfield><subfield code="2">ssgn</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Hu, Bingyang</subfield><subfield code="e">verfasserin</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Sets of Uniqueness, Weakly Sufficient Sets and Sampling Sets for Weighted Spaces of Holomorphic Functions in the Unit Ball</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">2021</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">Text</subfield><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">ohne Hilfsmittel zu benutzen</subfield><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">Band</subfield><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">© This is a U.S. government work and not under copyright protection in the U.S.; foreign copyright protection may apply 2021</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">Abstract We consider, in a quite general setting, inductive limits of weighted spaces of holomorphic functions in the unit ball of $${{\mathbb {C}}}^n$$. 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In particular, the equivalence of these sets, under some conditions of the weights, is obtained.</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Weighted spaces</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Holomorphic functions</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Unit ball</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Sets of uniqueness</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Weakly sufficient sets</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Sampling sets</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Khoi, Le Hai</subfield><subfield code="4">aut</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">Enthalten in</subfield><subfield code="t">Complex analysis and operator theory</subfield><subfield code="d">Springer International Publishing, 2007</subfield><subfield code="g">16(2021), 1 vom: 29. Nov.</subfield><subfield code="w">(DE-627)565301047</subfield><subfield code="w">(DE-600)2425163-X</subfield><subfield code="w">(DE-576)409490164</subfield><subfield code="x">1661-8254</subfield><subfield code="7">nnns</subfield></datafield><datafield tag="773" ind1="1" ind2="8"><subfield code="g">volume:16</subfield><subfield code="g">year:2021</subfield><subfield code="g">number:1</subfield><subfield code="g">day:29</subfield><subfield code="g">month:11</subfield></datafield><datafield tag="856" ind1="4" ind2="1"><subfield code="u">https://doi.org/10.1007/s11785-021-01144-0</subfield><subfield code="z">lizenzpflichtig</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_USEFLAG_A</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SYSFLAG_A</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV_OLC</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SSG-OLC-MAT</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">SSG-OPC-MAT</subfield></datafield><datafield tag="951" ind1=" " ind2=" "><subfield code="a">AR</subfield></datafield><datafield tag="952" ind1=" " ind2=" "><subfield code="d">16</subfield><subfield code="j">2021</subfield><subfield code="e">1</subfield><subfield code="b">29</subfield><subfield code="c">11</subfield></datafield></record></collection>
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