Abstract
If T is any bounded linear operator on Besov spaces Bpσj,qj(Rn)(j=0,1, and 0<σ1<σ<σ0), it is proved that the commutator [T,Tμ]=TTμ -TμT is bounded on Bpσ,q (Rn), if Tμ is a Fourier multiplier such that μ is any (possibly unbounded) symbol with uniformly bounded variation on dyadic coronas. © 2004 Published by Elsevier Inc.
| Original language | English |
|---|---|
| Pages (from-to) | 119-128 |
| Journal | Journal of Approximation Theory |
| Volume | 129 |
| Publication status | Published - 1 Aug 2004 |
Keywords
- Approximation spaces
- Besov space
- Commutator
- Interpolation theory
- K-functional
- Multipliers