IJPAM: Volume 42, No. 4 (2008)

INTERPOLATION THEOREMS FOR SUBLINEAR OPERATORS

Chaoyuan Liu
Department of Mathematics and Statistics
Eastern Kentucky University
Richmond, KY 40475, USA
e-mail: mary.liu@eku.edu


Abstract.We prove the appropriate sublinear operator interpolation theorems between the weak type $(1,1)$ estimate and the strong estimate from $L^\infty$ to $BMO$.

Received: August 17, 2007

AMS Subject Classification: 26B35, 37A35, 37M99

Key Words and Phrases: sublinear operators, interpolation

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2008
Volume: 42
Issue: 4