6533b826fe1ef96bd128460a

RESEARCH PRODUCT

Embedding of Sobolev Spaces into Lipschitz Spaces

Ari Lehtonen

subject

Sobolev spacePure mathematicsLipschitz domainInterpolation spaceBirnbaum–Orlicz spaceLp spaceTopologyDomain (mathematical analysis)Sobolev inequalityMathematicsSobolev spaces for planar domains

description

The main result of the paper is that if Ω is a bounded uniform domain in ℝn and p>n, then the Sobolev space Wl, p(Ω) embeds continously into Cα(Ω), α = 1 - n/p.

yearjournalcountryeditionlanguage
1989-01-01
https://doi.org/10.1007/978-94-009-2643-1_2