### Abstract

Let X be a space of homogeneous type with finite measure. Let T be a singular integral operator which is bounded on L^{p}(X), 1 < p < ∞. We give a sufficient condition on the kernel k(x, y) of T so that when a function b ε BMO (X), the commutator [b, T] (f) = T (bf) - bT (f) is bounded on spaces L^{p} for all p, 1< p < ∞.

Original language | English |
---|---|

Pages (from-to) | 41-55 |

Number of pages | 15 |

Journal | Analysis in Theory and Applications |

Volume | 22 |

Issue number | 1 |

DOIs | |

Publication status | Published - Mar 2006 |

### Keywords

- BMO function
- Commutator
- homogeneous space
- singular integral operator

## Fingerprint Dive into the research topics of 'Commutators of BMO functions and singular integral operators with non-smooth kernels on spaces of Homogeneous type of finite measure'. Together they form a unique fingerprint.

## Cite this

Deng, D. G., Xu, Y. B., & Yan, L. Y. (2006). Commutators of BMO functions and singular integral operators with non-smooth kernels on spaces of Homogeneous type of finite measure.

*Analysis in Theory and Applications*,*22*(1), 41-55. https://doi.org/10.1007/BF03218697