Interpolation Spaces between $L^1$ and {\rm BMO} on Spaces of Homogeneous Type
Received:May 16, 2005  Revised:October 11, 2006
Key Words: spaces of homogeneous type   {\rm BMO}   interpolation space.  
Fund Project:the Natural Science Foundation of Hebei Province (A2006000129).
Author NameAffiliation
LI Gang Teaching Department, Hebei Radio and TV University, Hebei 050071, China 
LI Wen-ming Department of Mathematics, Hebei Normal University, Hebei 050016, China 
Hits: 2838
Download times: 2248
Abstract:
      We study the interpolation spaces between $L^1$ and {\rm BMO} on spaces of homogeneous type. For $0<\theta<1, \ \ 1\le q \le \infty$, we obtain $(L^1, {\rm BMO})_{\theta,q}=L_{pq},$ where $\theta=1-\frac 1p$.
Citation:
DOI:10.3770/j.issn:1000-341X.2007.03.011
View Full Text  View/Add Comment