Commutators for fourier multipliers on Besov spaces
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....
| Autores: | , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2004 |
| País: | España |
| Institución: | Universitat Autònoma de Barcelona |
| Repositorio: | Dipòsit Digital de Documents de la UAB |
| Idioma: | inglés |
| OAI Identifier: | oai:ddd.uab.cat:271870 |
| Acceso en línea: | https://ddd.uab.cat/record/271870 https://dx.doi.org/urn:doi:10.1016/j.jat.2004.03.007 |
| Access Level: | acceso abierto |
| Palabra clave: | Approximation spaces Besov space Commutator Interpolation theory K-functional Multipliers |
| Sumario: | 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. |
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