Perturbations of positive semigroups on Lₚ -spaces

Publikationstyp
Journal Article
Date Issued
2016-06-01
Author(s)
Seifert, Christian  orcid-logo
Waurick, Marcus  
Institut
Mathematik E-10  
TORE-URI
http://hdl.handle.net/11420/6125
Journal
Positivity  
Volume
20
Issue
2
Start Page
467
End Page
481
Citation
Positivity 2 (20): 467-481 (2016-06-01)
Publisher DOI
10.1007/s11117-015-0366-0
Scopus ID
2-s2.0-84944711668
We give a characterization of a variation of constants type estimate relating two positive semigroups on (possibly different) Lp-spaces to one another in terms of corresponding estimates for the respective generators and of estimates for the respective resolvents. The results have applications to kernel estimates for semigroups induced by accretive and non-local forms on σ-finite measure spaces.
Subjects
Kernel estimates
Perturbed semigroups
Positive C -semigroups 0