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Slant Hankel Operators of Multivariate Order
We introduce a k th-order slant Hankel operator on the Lebesgue space of n -torus, for k = ( k 1 , … , k n ) , where each k t ≥ 1 , ( 1 ≤ t ≤ n ) is an integer. Our main result is to obtain equivalent characterizations for a bounded operator on L 2 ( T n ) to be a k th-order slant Hankel operator. W...
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| Published in: | Mediterranean journal of mathematics 2023-02, Vol.20 (1), Article 8 |
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| Main Authors: | , |
| Format: | Article |
| Language: | English |
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| cites | cdi_FETCH-LOGICAL-c270t-3f361881a75411a0e86aa7b3873bcc3a6c96228a05feaa66698613e97fc8013a3 |
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| container_issue | 1 |
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| container_title | Mediterranean journal of mathematics |
| container_volume | 20 |
| creator | Datt, Gopal Gupta, Bhawna Bansal |
| description | We introduce a
k
th-order slant Hankel operator on the Lebesgue space of
n
-torus, for
k
=
(
k
1
,
…
,
k
n
)
, where each
k
t
≥
1
,
(
1
≤
t
≤
n
)
is an integer. Our main result is to obtain equivalent characterizations for a bounded operator on
L
2
(
T
n
)
to be a
k
th-order slant Hankel operator. We also discuss various commutative, spectral and other properties of these operators. |
| doi_str_mv | 10.1007/s00009-022-02211-2 |
| format | article |
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k
th-order slant Hankel operator on the Lebesgue space of
n
-torus, for
k
=
(
k
1
,
…
,
k
n
)
, where each
k
t
≥
1
,
(
1
≤
t
≤
n
)
is an integer. Our main result is to obtain equivalent characterizations for a bounded operator on
L
2
(
T
n
)
to be a
k
th-order slant Hankel operator. We also discuss various commutative, spectral and other properties of these operators.</description><identifier>ISSN: 1660-5446</identifier><identifier>EISSN: 1660-5454</identifier><identifier>DOI: 10.1007/s00009-022-02211-2</identifier><language>eng</language><publisher>Cham: Springer International Publishing</publisher><subject>Mathematics ; Mathematics and Statistics ; Operators ; Toruses</subject><ispartof>Mediterranean journal of mathematics, 2023-02, Vol.20 (1), Article 8</ispartof><rights>The Author(s), under exclusive licence to Springer Nature Switzerland AG 2022. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><cites>FETCH-LOGICAL-c270t-3f361881a75411a0e86aa7b3873bcc3a6c96228a05feaa66698613e97fc8013a3</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>314,776,780,27901,27902</link.rule.ids></links><search><creatorcontrib>Datt, Gopal</creatorcontrib><creatorcontrib>Gupta, Bhawna Bansal</creatorcontrib><title>Slant Hankel Operators of Multivariate Order</title><title>Mediterranean journal of mathematics</title><addtitle>Mediterr. J. Math</addtitle><description>We introduce a
k
th-order slant Hankel operator on the Lebesgue space of
n
-torus, for
k
=
(
k
1
,
…
,
k
n
)
, where each
k
t
≥
1
,
(
1
≤
t
≤
n
)
is an integer. Our main result is to obtain equivalent characterizations for a bounded operator on
L
2
(
T
n
)
to be a
k
th-order slant Hankel operator. We also discuss various commutative, spectral and other properties of these operators.</description><subject>Mathematics</subject><subject>Mathematics and Statistics</subject><subject>Operators</subject><subject>Toruses</subject><issn>1660-5446</issn><issn>1660-5454</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2023</creationdate><recordtype>article</recordtype><recordid>eNp9kE1LxDAQhoMouK7-AU8Fr1ZnknaSHGVRV1jpQT2H2ZrKrrWtSSv47-1a0ZsDw8zh_YBHiFOECwTQlxHGsSlIuVvEVO6JGRJBmmd5tv_7Z3QojmLcAkiLSs7E-UPNTZ8suXn1dVJ0PnDfhpi0VXI_1P3mg8OGe58U4dmHY3FQcR39yc-di6eb68fFMl0Vt3eLq1VaSg19qipFaAyyzjNEBm-IWa-V0WpdloqptCSlYcgrz0xE1hAqb3VVGkDFai7OptwutO-Dj73btkNoxkondZYTkJV2VMlJVYY2xuAr14XNG4dPh-B2VNxExY1E3DcVJ0eTmkxxFDcvPvxF_-P6AillYnI</recordid><startdate>20230201</startdate><enddate>20230201</enddate><creator>Datt, Gopal</creator><creator>Gupta, Bhawna Bansal</creator><general>Springer International Publishing</general><general>Springer Nature B.V</general><scope>AAYXX</scope><scope>CITATION</scope></search><sort><creationdate>20230201</creationdate><title>Slant Hankel Operators of Multivariate Order</title><author>Datt, Gopal ; Gupta, Bhawna Bansal</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c270t-3f361881a75411a0e86aa7b3873bcc3a6c96228a05feaa66698613e97fc8013a3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2023</creationdate><topic>Mathematics</topic><topic>Mathematics and Statistics</topic><topic>Operators</topic><topic>Toruses</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Datt, Gopal</creatorcontrib><creatorcontrib>Gupta, Bhawna Bansal</creatorcontrib><collection>CrossRef</collection><jtitle>Mediterranean journal of mathematics</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Datt, Gopal</au><au>Gupta, Bhawna Bansal</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Slant Hankel Operators of Multivariate Order</atitle><jtitle>Mediterranean journal of mathematics</jtitle><stitle>Mediterr. J. Math</stitle><date>2023-02-01</date><risdate>2023</risdate><volume>20</volume><issue>1</issue><artnum>8</artnum><issn>1660-5446</issn><eissn>1660-5454</eissn><abstract>We introduce a
k
th-order slant Hankel operator on the Lebesgue space of
n
-torus, for
k
=
(
k
1
,
…
,
k
n
)
, where each
k
t
≥
1
,
(
1
≤
t
≤
n
)
is an integer. Our main result is to obtain equivalent characterizations for a bounded operator on
L
2
(
T
n
)
to be a
k
th-order slant Hankel operator. We also discuss various commutative, spectral and other properties of these operators.</abstract><cop>Cham</cop><pub>Springer International Publishing</pub><doi>10.1007/s00009-022-02211-2</doi></addata></record> |
| fulltext | fulltext |
| identifier | ISSN: 1660-5446 |
| ispartof | Mediterranean journal of mathematics, 2023-02, Vol.20 (1), Article 8 |
| issn | 1660-5446 1660-5454 |
| language | eng |
| recordid | cdi_proquest_journals_2745606929 |
| source | Springer Nature |
| subjects | Mathematics Mathematics and Statistics Operators Toruses |
| title | Slant Hankel Operators of Multivariate Order |
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