Almost‐compact embeddings
Copyright policy )Almost‐compact embeddings
AbstractWe study almost‐compact embeddings between Banach function spaces. We prove a necessary and sufficient condition in terms of almost‐everywhere convergence. We also study the dependence of an almost‐compact embedding on the measure space. We introduce a certain product operator and show its intimate relation to an almost‐compact embedding. We also characterize general almost‐compact embeddings among Lorentz and Marcinkiewicz endpoint spaces.
- Charles University Czech Republic
Lorentz endpoint space, product operator, Banach function space, almost-compact embedding, Marcinkiewicz endpoint space, almost-everywhere convergence, Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.), rearrangement-invariant space
Lorentz endpoint space, product operator, Banach function space, almost-compact embedding, Marcinkiewicz endpoint space, almost-everywhere convergence, Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.), rearrangement-invariant space
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