Annales Academiæ Scientiarum Fennicæ
Mathematica
Volumen 39, 2014, 97-107

AN APPLICATION OF INTERPOLATION THEORY TO RENORMING OF LORENTZ-KARAMATA TYPE SPACES

Pedro Fernández-Martínez and Teresa M. Signes

Universidad de Murcia, Facultad de Informática, Departamento de Matemática Aplicada
Campus de Espinardo, 30071 Espinardo (Murcia), Spain; pedrofdz 'at' um.es

Universidad de Murcia, Facultad de Informática, Departamento de Matemática Aplicada
Campus de Espinardo, 30071 Espinardo (Murcia), Spain; tmsignes 'at' um.es

Abstract. We apply techniques of interpolation of operators acting on cones of measurable functions to prove new characterizations of Lorentz-Karamata type spaces.

2010 Mathematics Subject Classification: Primary 46B70, 46E30, 47B38.

Key words: Function spaces, function cones, ultrasymmetric spaces, interpolation theory, Lorentz-Karamata spaces.

Reference to this article: P. Fernández-Martínez and T.M. Signes: An application of interpolation theory to renorming of Lorentz-Karamata type spaces. Ann. Acad. Sci. Fenn. Math. 39 (2014), 97-107.

Full document as PDF file

doi:10.5186/aasfm.2014.3911