Tractable embeddings of Besov spaces into small Lebesgue spaces
Copyright policy )Tractable embeddings of Besov spaces into small Lebesgue spaces
This paper deals with dimension‐controllable (tractable) embeddings of Besov spaces on n‐dimensional torus into small Lebesgue spaces. Our techniques rely on the approximation structure of Besov spaces, extrapolation properties of small Lebesgue spaces and interpolation.
small Lebesgue spaces, Trigonometric approximation, Besov spaces, Interpolation between normed linear spaces, extrapolation, approximation spaces, Sobolev spaces and other spaces of ``smooth'' functions, embedding theorems, trace theorems, interpolation, Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)
small Lebesgue spaces, Trigonometric approximation, Besov spaces, Interpolation between normed linear spaces, extrapolation, approximation spaces, Sobolev spaces and other spaces of ``smooth'' functions, embedding theorems, trace theorems, interpolation, Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)
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