易青. 象征型拟微分算子的L2－有界性[J]. 南昌航空大学学报(自然科学版), 1995, 9(2): 87-91.
引用本文: 易青. 象征型拟微分算子的L2－有界性[J]. 南昌航空大学学报(自然科学版), 1995, 9(2): 87-91.
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Yi Qing. L2-Boundedness of Pseudo-Differential Operators of Symbolic Type[J]. Journal of nanchang hangkong university(Natural science edition), 1995, 9(2): 87-91.
Citation: Yi Qing. L2-Boundedness of Pseudo-Differential Operators of Symbolic Type[J]. Journal of nanchang hangkong university(Natural science edition), 1995, 9(2): 87-91.
shu

象征型拟微分算子的L2－有界性

L2-Boundedness of Pseudo-Differential Operators of Symbolic Type

    摘要
  • 摘要: 证明了象征型拟微分算子的一个L2有界性定理,其中象征a(x,ξ)关于x的正则性条件被进一步减弱了。在某种意义下,该结果给出了定理A与定理B之间的联系。

     

    Abstract: In this paper,the author has proved a theorem on L2-boundedness of the pseudo-differential operators of symbolic type,in which the reguarity conditions for symbols with respect to X are further relaxed.The results,in a sense,have given out the relationship between the theorem Aand B.

     

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