3 papers
math.FA2025
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…
math.FA2025
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…
math-ph2025
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…