2 citations · 3 across the 11 of their papers we have counts for
13 papers
Continuous and compact embeddings for a class of modular sequence spaces
Pierre-A. Vuillermot
In this article we prove the existence of continuous and compact embeddings for a class of modular sequence spaces generated by Orlicz functions. The class under consideration cont…
On the compactness of embeddings for a class of weighted Orlicz-Sobolev sequence spaces
Pierre-A. Vuillermot
In this article we introduce a new scale of weighted Orlicz-Sobolev sequence spaces generated by a class of suitable Orlicz functions and prove various continuity and compactness c…
Compact embeddings and Pitt's property for weighted sequence spaces of Sobolev type
Pierre-A. Vuillermot
In this article we introduce a new class of weighted sequence spaces of Sobolev type and prove several compact embedding theorems for them. It is our contention that the chosen cla…
On the relaxation to equilibrium of a quantum oscillator interacting with a radiation field
Pierre-A. Vuillermot
In this article we investigate from the point of view of spectral theory the problem of relaxation to thermodynamical equilibrium of a quantum harmonic oscillator interacting with…
On the asymptotic behavior of solutions to a class of grand canonical master equations
Sabine Bögli, Pierre-A. Vuillermot
In this article we investigate the long time behavior of solutions to a class of infinitely many master equations defined from transition rates that are suitable for the descriptio…
A spectral theorem for the semigroup generated by a class of infinitely many master equations
Sabine Boegli, Pierre-A. Vuillermot
In this article we investigate the spectral properties of the infinitesimal generator of an infinite system of master equations arising in the analysis of the approach to equilibri…