Continuous convolution hemigroups integrating a submultiplicative function

• Autorzy: Hazod W.
• Języki publikacji: EN

Abstrakty

EN

Unifying and generalizing previous investigations for vector spaces and for locally compact groups, E. Siebert obtained the following remarkable result: A Lévy process on a completely metrizable topological group G, resp. a continuous convolution semigroup (μ_t)_t≥0 of probabilities, satisfies a moment condition ∫fdμ_t < ∞ for some submultiplicativefunction f > 0 if and only if the jump measure of the process, resp. the Lévy measure η of the continuous convolution semigroup, satisfies ∫_CUfdη < ∞ for some neighbourhood U of the unit e. Here we generalize this result to additive processes, resp. convolution hemigroups (μ_s;t)_s≤t, on (second countable) locally compact groups.

Słowa kluczowe

EN

additive processes; convolution hemigroups; moment conditions; submultiplicative functions; operator hemigroups; evolution families

• Wydawca: Wrocław University of Science and Technology
• Czasopismo: Probability and Mathematical Statistics
• Rocznik: 2010
• Tom: Vol. 30, Fasc. 2
• Strony: 317--337
• Opis fizyczny: Bibliogr. 31 poz.

Twórcy

autor

Hazod W.

• Technische Universität Dortmund, Faculty of Mathematics, D-44221 Dortmund, Germany

Bibliografia

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