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PDE Real Analysis Seminar
Seminar information archive ～04/26｜Next seminar｜Future seminars 04/27～
| Date, time & place | Tuesday 10:30 - 11:30 056Room #056 (Graduate School of Math. Sci. Bldg.) |
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2005/06/08
10:30-11:30 Room #056 (Graduate School of Math. Sci. Bldg.)
宮地晶彦 (東京女子大学)
Weighted Hardy spaces on an interval and Jacobi series
http://coe.math.sci.hokudai.ac.jp/sympo/pde_ra/index.html
宮地晶彦 (東京女子大学)
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.
[ Reference URL ]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.
http://coe.math.sci.hokudai.ac.jp/sympo/pde_ra/index.html
