An optimal endpoint trace embedding (Q983147)

From MaRDI portal





scientific article; zbMATH DE number 5763356
Language Label Description Also known as
English
An optimal endpoint trace embedding
scientific article; zbMATH DE number 5763356

    Statements

    An optimal endpoint trace embedding (English)
    0 references
    0 references
    0 references
    3 August 2010
    0 references
    The authors find an optimal Sobolev-type space on \(\mathbb R^n\) all of whose functions admit a trace on subspaces of \(\mathbb R^n\) of given dimension. A~corresponding trace embedding theorem with sharp range is established.
    0 references
    Sobolev spaces
    0 references
    trace inequalities
    0 references
    Lorentz spaces
    0 references
    rearrangement invariant spaces
    0 references

    Identifiers