Real interpolation of functions with applications to accretive operators on Banach spaces

Research output: Contribution to journalResearch articleContributedpeer-review

Contributors

Abstract

We study real interpolation, but instead of interpolating between Banach spaces, we interpolate between general functions taking values in [0,∞]. We show the equivalence of the mean method and the K-method and apply the general theory to interpolation between the norm on a Banach space and the set norm associated with an m-accretive operator on such a space.

Details

Original languageEnglish
Pages (from-to)554-592
Number of pages39
JournalJournal of Differential Equations
Volume402
Publication statusPublished - 5 Sept 2024
Peer-reviewedYes

External IDs

ORCID /0000-0002-6854-0586/work/160477414
Scopus 85193605827
Mendeley fb66eacd-e15b-3e36-8b4a-78d5330b1d89

Keywords

Keywords

  • Accretive operators, Banach function space, K-method, Mean method, Real interpolation, Trace method