145175 20260217205530.0 doi 10.1007/s10476-024-00047-4 sideral 140006 ART-2024-140006 eng Abadias, L. Universidad de Zaragoza (orcid)0000-0003-2453-7841 On the hyperbolic group and subordinated integrals as operators on sequence Banach spaces 2024 Access copy available to the general public Unrestricted We show that the composition hyperbolic group in the unit disc, once transferred to act on sequence spaces, is bounded on l^p if and only if 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. info:eu-repo/grantAgreement/ES/DGA/E26-17R info:eu-repo/grantAgreement/ES/MICINN/PID2019-10579GB-I00 info:eu-repo/grantAgreement/ES/MICINN/PID2022-137294NB-I00 info:eu-repo/grantAgreement/ES/UZ/UZ2019-CIE-01 info:eu-repo/semantics/openAccess by https://creativecommons.org/licenses/by/4.0/deed.es 0.5 2024 MATHEMATICS 337 / 492 = 0.685 2024 Q3 T3 0.465 2024 Mathematics (miscellaneous) 2024 Q2 Analysis 2024 Q3 1.0 2024 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Galé, J. E. Universidad de Zaragoza (orcid)0000-0003-0398-6883 Miana, P. J. Universidad de Zaragoza (orcid)0000-0001-9430-343X Oliva-Maza, J. Universidad de Zaragoza (orcid)0000-0001-8546-5883 2006 015 Universidad de Zaragoza Dpto. Matemáticas Área Análisis Matemático 51 (2024), 1-22 ANALYSIS MATHEMATICA ANALYSIS MATHEMATICA 0133-3852 706068 http://zaguan.unizar.es/record/145175/files/texto_completo.pdf Versión publicada 1252506 http://zaguan.unizar.es/record/145175/files/texto_completo.jpg?subformat=icon icon Versión publicada oai:zaguan.unizar.es:145175 articulos driver 2026-02-17-20:32:07 ARTICLE