121042 20240319081009.0 doi 10.1007/s00028-022-00851-1 sideral 131368 ART-2022-131368 eng Abadias, Luciano Universidad de Zaragoza (orcid)0000-0003-2453-7841 Discrete Hölder spaces and their characterization via semigroups associated with the discrete Laplacian and kernel estimates 2022 Access copy available to the general public Unrestricted In this paper, we characterize the discrete Hölder spaces by means of the heat and Poisson semigroups associated with the discrete Laplacian. These characterizations allow us to get regularity properties of fractional powers of the discrete Laplacian and the Bessel potentials along these spaces and also in the discrete Zygmund spaces in a more direct way than using the pointwise definition of the spaces. To obtain our results, it has been crucial to get boundedness properties of the heat and Poisson kernels and their derivatives in both space and time variables. We believe that these estimates are also of independent interest. info:eu-repo/grantAgreement/ES/DGA-FEDER/E26-17R info:eu-repo/grantAgreement/ES/MCYTS-DGI-FEDER/PID2019-105979GB-I00 info:eu-repo/grantAgreement/ES/UZ/JIUZ-2019-CIE-01 info:eu-repo/semantics/openAccess by http://creativecommons.org/licenses/by/3.0/es/ 1.4 2022 MATHEMATICS 71 / 329 = 0.216 2022 Q1 T1 MATHEMATICS, APPLIED 121 / 267 = 0.453 2022 Q2 T2 1.19 2022 Mathematics (miscellaneous) 2022 Q1 1.9 2022 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion De León-Contreras, Marta 2006 015 Universidad de Zaragoza Dpto. Matemáticas Área Análisis Matemático 22, 4 (2022), 91 [42 pp.] J. Evol. Equ. JOURNAL OF EVOLUTION EQUATIONS 1424-3199 580804 http://zaguan.unizar.es/record/121042/files/texto_completo.pdf Versión publicada 1245516 http://zaguan.unizar.es/record/121042/files/texto_completo.jpg?subformat=icon icon Versión publicada oai:zaguan.unizar.es:121042 articulos driver 2024-03-18-14:57:00 ARTICLE