On pointwise multipliers for $F^s_{p,q}(R^n)$ in case $\sigma_{p,q} < s < n/p$

Preprint series: 98-32, Analysis

The paper is published: Ann. Mat. Pura Appl., 176, 209-250, 1999

MSC:
46E35 Sobolev spaces and other spaces of smooth'' functions, embedding theorems, trace theorems

Abstract: We give a new description of the set $M(F^s_{p,q})$ of all pointwise multipliers of the Triebel-Lizorkin spaces $F^s_{p,q}$ in those cases, where they consist of, possibly unbounded, functions.

Keywords: pointwise multipliers, capacities, Lizorkin-Triebel spaces