核函数属于Fα(Sn-1)空间中的抛物Littlewood-Paley算子的Lp有界性

摘要

In this paper, the authors establish the Lp-boundedness for parabolic LittlewoodPaley operator under a weaker condition. Some known results are e8sentially improved.%该文证明了在一类较弱的条件下具有粗糙核的抛物Littlewood-Paley算子在Lp空间中的有界性,本质推广了一些已知结果.