The 13th 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 :
- June 8, 2005 (Wednesday) 10:30-11:30
- Place :
- Graduate School of Mathematical Sciences the University of Tokyo, Room #056
- Programme :
-
- Miyachi, Akihiko (Tokyo Woman's Christian University)
- "Weighted Hardy spaces on an interval and Jacobi series"
- ABSTRACT:
- For the classical Hardy class consisting of functions holomorphic in the unit disc, the Burkholder-Gundy-Silverstein theorem gives a characterization of the class in terms of certain maximal functions. We give a variant of this theorem related to weighted Hardy spaces on the interval(0,\pi) and generalized holomorphic functions efined through ultraspherical (Gegenbauer) polynomials.
