与微分算子相联系的Hardy空间g函数刻画

The g Function Characterization of the Hardy Space Associated to the Differential Operators

采用帐篷空间理论对与微分算子相联系的Hardy空间进行研究,通过深刻揭示帐篷空间的内在性质,证明与微分算子相联系的Hardy空间的面积函数刻画与Littlewood-Paleyg函数刻画是等价的.

The purpose of this paper is to prove the Hardy space associated to the differential operators characterized by the square function is equivalent to the g function characterization. In order to do that, the tent spaces were further researched, and its Important properties were obtained, which will provide a convenient passageway to solve the problem, i.e. the g function characterization is equivalent to the square function characterization.