We establish weighted extrapolation theorems in classical and grand Lorentz spaces. As a consequence we have the weighted boundedness of operators of Harmonic Analysis in grand Lorentz spaces. We treat both cases: diagonal and off-diagonal ones.

中文翻译：

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加权经典和大洛伦兹空间的外推。在积分算子的有界性中的应用

我们在经典和大洛伦兹空间中建立加权外推定理。因此，我们有大洛伦兹空间中谐波分析算子的加权有界性。我们处理两种情况：对角线和非对角线。