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On the hyperbolic group and subordinated integrals as operators on sequence Banach spaces
We show that the composition hyperbolic group in the unit disc, once transferred to act on sequence spaces, is bounded on $$\ell^p$$ ℓ p if and only if $${p=2}$$ p = 2 . We introduce some integral operators subordinated to that group which are natural generalizations of classical operators on sequen...
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| Published in: | Analysis mathematica (Budapest) 2024-09 |
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| Main Authors: | , , , |
| Format: | Article |
| Language: | English |
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| container_title | Analysis mathematica (Budapest) |
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| creator | Abadias, L. Galé, J. E. Miana, P. J. Oliva-Maza, J. |
| description | We show that the composition hyperbolic group in the unit disc, once transferred to act on sequence spaces, is bounded on
$$\ell^p$$
ℓ
p
if and only if
$${p=2}$$
p
=
2
. We introduce some integral operators subordinated to that group which are natural generalizations of classical operators on sequences. For the description of such operators, we use some combinatorial identities which look interesting in their own. |
| doi_str_mv | 10.1007/s10476-024-00047-4 |
| format | article |
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$$\ell^p$$
ℓ
p
if and only if
$${p=2}$$
p
=
2
. We introduce some integral operators subordinated to that group which are natural generalizations of classical operators on sequences. For the description of such operators, we use some combinatorial identities which look interesting in their own.</description><identifier>ISSN: 0133-3852</identifier><identifier>EISSN: 1588-273X</identifier><identifier>DOI: 10.1007/s10476-024-00047-4</identifier><language>eng</language><ispartof>Analysis mathematica (Budapest), 2024-09</ispartof><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><cites>FETCH-LOGICAL-c172t-337f9d27b72cef88153f4508ceda644efc178603758777d222843e6d259dad373</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>314,776,780,27901,27902</link.rule.ids></links><search><creatorcontrib>Abadias, L.</creatorcontrib><creatorcontrib>Galé, J. E.</creatorcontrib><creatorcontrib>Miana, P. J.</creatorcontrib><creatorcontrib>Oliva-Maza, J.</creatorcontrib><title>On the hyperbolic group and subordinated integrals as operators on sequence Banach spaces</title><title>Analysis mathematica (Budapest)</title><description>We show that the composition hyperbolic group in the unit disc, once transferred to act on sequence spaces, is bounded on
$$\ell^p$$
ℓ
p
if and only if
$${p=2}$$
p
=
2
. We introduce some integral operators subordinated to that group which are natural generalizations of classical operators on sequences. For the description of such operators, we use some combinatorial identities which look interesting in their own.</description><issn>0133-3852</issn><issn>1588-273X</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2024</creationdate><recordtype>article</recordtype><recordid>eNotkL1OwzAURi0EEqXwAkx-AYPt68TuCBV_UqUuIMFkOfZNE1ScYCdD3x5Dmb4zHH3DIeRa8BvBub7NgitdMy4V47wgUydkISpjmNTwfkoWXAAwMJU8Jxc5fxZpVRtYkI9tpFOHtDuMmJph33u6S8M8UhcDzXMzpNBHN2GgfZxwl9w-U5fpUGw3DalQpBm_Z4we6b2Lznc0j85jviRnbbHx6n-X5O3x4XX9zDbbp5f13YZ5oeXEAHS7ClI3WnpsjREVtKrixmNwtVLYFs3UHHRltNZBSmkUYB1ktQougIYlkcdfn4acE7Z2TP2XSwcruP2NY49xbIlj_-JYBT_S71hl</recordid><startdate>20240915</startdate><enddate>20240915</enddate><creator>Abadias, L.</creator><creator>Galé, J. E.</creator><creator>Miana, P. J.</creator><creator>Oliva-Maza, J.</creator><scope>AAYXX</scope><scope>CITATION</scope></search><sort><creationdate>20240915</creationdate><title>On the hyperbolic group and subordinated integrals as operators on sequence Banach spaces</title><author>Abadias, L. ; Galé, J. E. ; Miana, P. J. ; Oliva-Maza, J.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c172t-337f9d27b72cef88153f4508ceda644efc178603758777d222843e6d259dad373</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2024</creationdate><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Abadias, L.</creatorcontrib><creatorcontrib>Galé, J. E.</creatorcontrib><creatorcontrib>Miana, P. J.</creatorcontrib><creatorcontrib>Oliva-Maza, J.</creatorcontrib><collection>CrossRef</collection><jtitle>Analysis mathematica (Budapest)</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Abadias, L.</au><au>Galé, J. E.</au><au>Miana, P. J.</au><au>Oliva-Maza, J.</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>On the hyperbolic group and subordinated integrals as operators on sequence Banach spaces</atitle><jtitle>Analysis mathematica (Budapest)</jtitle><date>2024-09-15</date><risdate>2024</risdate><issn>0133-3852</issn><eissn>1588-273X</eissn><abstract>We show that the composition hyperbolic group in the unit disc, once transferred to act on sequence spaces, is bounded on
$$\ell^p$$
ℓ
p
if and only if
$${p=2}$$
p
=
2
. We introduce some integral operators subordinated to that group which are natural generalizations of classical operators on sequences. For the description of such operators, we use some combinatorial identities which look interesting in their own.</abstract><doi>10.1007/s10476-024-00047-4</doi><oa>free_for_read</oa></addata></record> |
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| identifier | ISSN: 0133-3852 |
| ispartof | Analysis mathematica (Budapest), 2024-09 |
| issn | 0133-3852 1588-273X |
| language | eng |
| recordid | cdi_crossref_primary_10_1007_s10476_024_00047_4 |
| source | Springer Link |
| title | On the hyperbolic group and subordinated integrals as operators on sequence Banach spaces |
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