Perturbations of positive semigroups on $$L_p$$ L p -spaces

Perturbations of positive semigroups on $$L_p$$ L p -spaces We give a characterization of a variation of constants type estimate relating two positive semigroups on (possibly different) $$L_p$$ L p -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 $$\sigma$$ σ -finite measure spaces. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Positivity Springer Journals

Perturbations of positive semigroups on $$L_p$$ L p -spaces

, Volume 20 (2) – Sep 24, 2015
15 pages

/lp/springer_journal/perturbations-of-positive-semigroups-on-l-p-l-p-spaces-Yd8PKg0X02
Publisher
Springer International Publishing
Subject
Mathematics; Fourier Analysis; Operator Theory; Potential Theory; Calculus of Variations and Optimal Control; Optimization; Econometrics
ISSN
1385-1292
eISSN
1572-9281
D.O.I.
10.1007/s11117-015-0366-0
Publisher site
See Article on Publisher Site

Abstract

We give a characterization of a variation of constants type estimate relating two positive semigroups on (possibly different) $$L_p$$ L p -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 $$\sigma$$ σ -finite measure spaces.

Journal

PositivitySpringer Journals

Published: Sep 24, 2015

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