A general differentiation theorem for multiparameter additive processes

• Autorzy: Ryotaro Sato
• Języki publikacji: EN

Abstrakty

EN

Let $(L,||·||_{L})$ be a Banach lattice of equivalence classes of real-valued measurable functions on a σ-finite measure space and $T = {T(u): u = (u₁,...,u_{d}), $u_{i} > 0$, 1 ≤ i ≤ d}$ be a strongly continuous locally bounded d-dimensional semigroup of positive linear operators on L. Under suitable conditions on the Banach lattice L we prove a general differentiation theorem for locally bounded d-dimensional processes in L which are additive with respect to the semigroup T.

Kategorie tematyczne

• 47A35: Ergodic theory
• 46E30: Spaces of measurable functions ( L p -spaces, Orlicz spaces, K\"othe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)
• 47D03: Groups and semigroups of linear operators

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2002
• Tom: 91
• Numer: 1
• Strony: 143-155

Daty

wydano

2002

Twórcy

autor

Ryotaro Sato

• Department of Mathematics, Faculty of Science, Okayama University, Okayama, 700-8530 Japan

Identyfikatory

DOI

10.4064/cm91-1-10