Generalized Cesaro operators, fractional finite differences and Gamma functions

Abadias, L. (Universidad de Zaragoza) ; Miana, P.J. (Universidad de Zaragoza)

Resumen: In this paper, we present a complete spectral research of generalized Cesaro operators on Sobolev-Lebesgue sequence spaces. The main idea is to subordinate such operators to suitable Co-semigroups on these sequence spaces. We introduce that family of sequence spaces using the fractional finite differences and we prove some structural properties similar to classical Lebesgue sequence spaces. In order to show the main results about fractional finite differences, we state equalities involving sums of quotients of Euler's Gamma functions. Finally, we display some graphical representations of the spectra of generalized Cesaro operators.

Idioma: Inglés

DOI: 10.1016/j.jfa.2017.10.010

Año: 2018

Publicado en: JOURNAL OF FUNCTIONAL ANALYSIS 274, 5 (2018), 1424-1465
ISSN: 0022-1236

Factor impacto JCR: 1.637 (2018)

Categ. JCR: MATHEMATICS rank: 28 / 313 = 0.089 (2018) - Q1 - T1

Factor impacto SCIMAGO: 2.47 - Analysis (Q1)

Financiación: info:eu-repo/grantAgreement/ES/DGA/E64
Financiación: info:eu-repo/grantAgreement/ES/MICINN/MTM2016-77710-P

Tipo y forma: Article (PostPrint)

Área (Departamento): Área Análisis Matemático (Dpto. Matemáticas)