Asymptotic Behavior of Eigenvalues of Certain Integral Operators
Asymptotic behaviour of semigroups of nonnegative operators on a Banach lattice
Asymptotic convergence theorems for semigroups of nonnegative operators on a Banach lattice, on C(X) and on (1 ≤ p ≤ ∞) are proved. The general results are applied to a class of semigroups generated by some differential equations.
Asymptotic behaviour of some Markov operators appearing in mathematical models of biology
Asymptotic properties of Markov operators defined by Volterra type integrals
New sufficient conditions for asymptotic stability of Markov operators are given. These criteria are applied to a class of Volterra type integral operators with advanced argument.
Asymptotic stability and sweeping of substochastic semigroups
A new theorem on asymptotic stability and sweeping of substochastic semigroups is proved, and applied semigroups generated by birth-death processes.
Au-delà des opérateurs de Calderón-Zygmund : avancées récentes sur la théorie
Automorphisms of C commuting with partial integration operators in a rectangle
Convolutional representations of the commutant of the partial integration operators in the space of continuous functions in a rectangle are found. Necessary and sufficient conditions are obtained for two types of representing functions, to be the operators in the commutant continuous automorphisms. It is shown that these conditions are equivalent to the requirement that the considered representing functions be joint cyclic elements of the partial integration operators.