We investigate the boundedness, compactness, invertibility and Fredholmness of weighted composition operators between Lorentz spaces. It is also shown that the classes of Fredholm and invertible weighted composition maps between Lorentz spaces coincide when the underlying measure space is nonatomic.

中文翻译：

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洛伦兹空间之间的加权组合算子

我们研究了洛伦兹空间之间加权复合算子的有界性、紧致性、可逆性和 Fredholmness。还表明，当底层测度空间是非原子的时，洛伦兹空间之间的 Fredholm 类和可逆加权复合图是一致的。