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End Point Estimate of Littlewood-Paley Operator Associated to the Generalized Schrödinger Operator
Journal of Function Spaces ( IF 1.9 ) Pub Date : 2021-03-20 , DOI: 10.1155/2021/8867966 Yanping Chen 1 , Wenyu Tao 1
Journal of Function Spaces ( IF 1.9 ) Pub Date : 2021-03-20 , DOI: 10.1155/2021/8867966 Yanping Chen 1 , Wenyu Tao 1
Affiliation
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:
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。
更新日期:2021-03-21
中文翻译:
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。