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math.FA2026
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…
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.FA2024
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…