The 16th PDE Real Analysis Seminar
(COE Partner Seminar, Department of Mathematics, Hokkaido University )
Outline
- Organizers :
-
H.Arai (University of Tokyo)
Y.Giga (University of Tokyo/Hokkaido University)
- Board Members :
- H.Ishii (Waseda.U) T.Kawazoe (Keio.U) N.Kenmochi (Chiba.U) M.Sakai (Tokyo Metropolitan.U)
Y.Shibata (Waseda.U) K.Mochizuki (Chuo.U)
A.Miyachi(Tokyo Woman's Christian.U) M.Yamazaki (Waseda.U)
- Period :
- Jury 20, 2005 (Wednesday) 10:30-11:30
- Place :
- Graduate School of Mathematical Sciences the University of Tokyo, Room #056
- Programme :
-
- Aikawa, Hiroaki (Shimane University)
- "Equivalence between the boundary Harnack principle and the Carleson estimate"
- ABSTRACT:
- Both the boundary Harnack principle and the Carleson estimate describe the boundary behavior of positive harmonic functions vanishing on a portion of the boundary. These notions are inextricably related and have been obtained simultaneously for domains with specific geometrical conditions. The main aim of this talk is to show that the boundary Harnack principle and the Carleson estimate are equivalent for arbitrary domains.
