关于共轭温度系统的Herz-型Hardy空间(英文)

Herz-Type Hardy Spaces for Conjugate Systems of Temperatures

记（ｎ－１）加＜ｐ≤ｑ＜∞，１＜ｑ，且ａ＝ｎ（１／ｐ－１／ｑ）．本文引进了关于Ｒ_＋~ｎ＋１上温度函数的共轭系统的Ｈｅｒｚ－型Ｈａｒｄｙ，空间ＴＨＫ_ｑ~ａｐ（Ｒ~ｎ），并且证明了它们的边值分布等同于通常的调和函数的共轭系统的Ｈｅｒｚ－型Ｈａｒｄｙ，空间ＨＫ_ｑ~ａｐ（Ｒ~ｎ）．

Let (n - 1)/n < P < ∞ .P < q < ∞, 1 < q and a = n(1/p - 1/q). The authors introduce the Herz-type Hardy spaces THK^ap_q(R^n) for conjugate systems of temperature functions on R^n+1_+, and show that their boundary distributions are the same as the boundary distributions of the usual Herz-type Hardy spaces HK^a,p_q(R^n) of conjugate systems of harmonic functions.