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Large time behavior of the Lp norm of Schrödinger semigroups

✍ Scribed by Barry Simon


Publisher
Elsevier Science
Year
1981
Tongue
English
Weight
765 KB
Volume
40
Category
Article
ISSN
0022-1236

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We prove several L p -uniqueness results for Schro dinger operators &L+V by means of the Feynman Kac formula. Using the (m, p)-capacity theory for general Markov semigroups, we show that the associated Feynman Kac semigroup is positive improving in the sense of (m, p)-capacity, improving the well kn