Compactness of the Commutator of Multilinear Fourier Multiplier Operator on Weighted Lebesgue Space
Let Tσ be the multilinear Fourier multiplier operator associated with multiplier σ satisfying the Sobolev regularity that supl∈ZσlWs1,…,sm(Rmn)<∞ for some sk∈(n/2,n] (k=1,…,m). The authors prove that if b1,…,bm∈BMO(Rn) and w⃗∈∏k=1mApk/tk(tk=n/sk), then the commutator Tσ,Σb is bounded from Lp1(...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2014-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2014/606504 |