by **
W. Sickel**

**Preprint series:**
99-17, Analysis

**MSC:**- 46E35 Sobolev spaces and other spaces of ``smooth'' functions, embedding theorems, trace theorems
- 41A15 Spline approximation
- 35B45 A priori estimates

**Abstract:** Let $0 < \mu < 1$. For $1 \le p \le \infty$ precise conditions on the parameters are given such that the following inequality

\[ \| \, |f|^\mu \, | B^{s\mu}_{{p}/{\mu}, q/\mu}\| \le c \, \| \, f \, |B^s_{p,q} \|^\mu\, , \]

holds for all $f \in B^s_{p,q}$.

**Upload:** 1999-03-05

**Update:** 1999-03-05

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