Sobolev Embedding

A family of results that identify when a Sobolev space W^{k,p}(Ω) (or its fractional variants) is continuously or compactly included in a Lebesgue space L^q(Ω), a Hölder space C^{0,α}(Ω), or another Sobolev space; the statements specify relations between derivative order, integrability exponent, and the spatial dimension or regularity of Ω.