Decomposition of Lp (partial derivativeDa) Space and Boundary Value of Holomorphic Functions

作者：Wen, Zhihong^*; Deng, Guantie; Wang, Cuiqiao; Qu, Feifei

来源：Chinese Annals of Mathematics Series B, 2017, 38(5): 1093-1110.

DOI：10.1007/s11401-017-1025-5

• Hardy space
• Rational function
• Holomorphic function
• Distribution

This paper deals with two topics mentioned in the title. First, it is proved that function f is L-p(partial derivative D-a) can be decomposed into a sum g + h, where. D-a is an angular domain in the complex plane, g and h are the non-tangential limits of functious in H-p(D-a) and H-p(D-a(c)) in the sense of L-P (D-a), respectively. Second, the sufficient and necessary conditions between boundary values of holomorphic functions and distributions in n-dimensional complex space are obtained.

• 单位
  江苏师范大学; 北京师范大学