Another look at Sobolev spaces 论文

2001引用 329
Nonlinear Partial Differential EquationsAdvanced Harmonic Analysis ResearchAdvanced Mathematical Modeling in Engineering

摘要

Our initial concern was to study the limiting behavior of the norms of fractional Sobolev spaces W s,p,0 < s < 1, 1 < p < ∞ as s → 1. Recall that a commonly used (semi) norm on W s,p is given by