A density result for homogeneous Sobolev spaces

2018/03/23 by Nandi, Debanjan · 1 citation
#46E35 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.1803.08715

Abstract

We show that in a bounded Gromov hyperbolic domain Ω smooth functions with bounded derivatives C^∞(Ω)∩ W^k,∞(Ω) are dense in the homogeneous Sobolev spaces L^k,p(Ω).

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