Let be the generalized Schrödinger operator on where is a nonnegative Radon measure satisfying certain scale-invariant Kato conditions and doubling conditions. In this work, we give a new space associated to the generalized Schrödinger operator , which is bigger than the spaces related to the classical Schrödinger operators , with a potential satisfying a reverse Hölder inequality introduced by Dziubański et al. in 2005. Besides, the boundedness of the Littlewood-Paley operators associated to in also be proved.

中文翻译：

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与广义Schrödinger算子相关的Littlewood-Paley算子的端点估计

让 成为上的广义Schrödinger运算符 在哪里 是满足某些尺度不变的加藤条件和加倍条件的非负Radon测度。在这项工作中，我们给与广义Schrödinger算子相关的新空间，该空间大于与经典Schrödinger算子相关的空间，与满足由Dziubański等人提出的反向Hölder不等式的电位。在2005年。此外，与in相关的Littlewood-Paley算子的有界性也得到了证明。