Truncated smooth function spaces
Copyright policy )Truncated smooth function spaces
We introduce truncated Besov and Triebel–Lizorkin function spaces and study their main properties: embeddings, interpolation, duality, lifting, traces. These new scales allow us to improve several known results in functional analysis and PDE’s. In particular, we obtain a full solution to the trace/extension problem in the critical case as well as sharp Sobolev-type embeddings with critical smoothness parameters.
lifting property, Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.) for real functions in one variable, Interpolation between normed linear spaces, traces, interpolation, Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.), Functional Analysis (math.FA), Mathematics - Functional Analysis, Numerical methods for wavelets, truncated function spaces, FOS: Mathematics, duality, Sobolev spaces and other spaces of ``smooth'' functions, embedding theorems, trace theorems, Function spaces arising in harmonic analysis, embeddings
lifting property, Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.) for real functions in one variable, Interpolation between normed linear spaces, traces, interpolation, Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.), Functional Analysis (math.FA), Mathematics - Functional Analysis, Numerical methods for wavelets, truncated function spaces, FOS: Mathematics, duality, Sobolev spaces and other spaces of ``smooth'' functions, embedding theorems, trace theorems, Function spaces arising in harmonic analysis, embeddings
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