Duality for logarithmic interpolation spaces and applications to Besov spaces

We review several results on duality of logarithmic interpolation spaces and applications to Besov spaces. We also establish some new results on Besov spaces with smoothness close to zero defined by differences.

Bibliographic Details
Authors: Cobos Díaz, Fernando, Fernández-Cabrera Marín, Luz María
Format: article
Publication Date:2020
Country:España
Institution:Universidad Complutense de Madrid (UCM)
Repository:Docta Complutense
Language:English
OAI Identifier:oai:docta.ucm.es:20.500.14352/5958
Online Access:https://hdl.handle.net/20.500.14352/5958
Access Level:Open access
Keyword:517
Besov spaces
Duality
Logarithmic smoothness
Logaritmic interpolation spaces
Espacios de Besov
Matemáticas (Matemáticas)
Análisis matemático
12 Matemáticas
1202 Análisis y Análisis Funcional
Description
Summary:We review several results on duality of logarithmic interpolation spaces and applications to Besov spaces. We also establish some new results on Besov spaces with smoothness close to zero defined by differences.