104學年度第1學期第3週-應用數學系演講公告
主 講 人：沈俊嚴 教授
國立中央大學數學系
講 題：Two weight T1 theory for singular integrals
演講時間：104年9月30日（星期三）14：30
演講地點：應用數學系多媒體教室（理學院408室）
摘 要：
One of the central open problems in the area of nonhomogeneous Harmonic analysis is to find a real variable characterization for the boundedness of singular integrals in the setting of two arbitrary Borel measures. Not only the solution will be a profound extension of the famous T1 theorem of David and Journe in 1970s, but the solution will have many important applications in various areas. In this talk, I will introduce the famous two weight problem and present our solution which settles the longstanding NTV conjecture for the Hilbert transform. If time permits, I will also outline our application of two weight Cauchy transform which settles a longstanding open problem in complex analysis.
國立中央大學數學系
講 題：Two weight T1 theory for singular integrals
演講時間：104年9月30日（星期三）14：30
演講地點：應用數學系多媒體教室（理學院408室）
摘 要：
One of the central open problems in the area of nonhomogeneous Harmonic analysis is to find a real variable characterization for the boundedness of singular integrals in the setting of two arbitrary Borel measures. Not only the solution will be a profound extension of the famous T1 theorem of David and Journe in 1970s, but the solution will have many important applications in various areas. In this talk, I will introduce the famous two weight problem and present our solution which settles the longstanding NTV conjecture for the Hilbert transform. If time permits, I will also outline our application of two weight Cauchy transform which settles a longstanding open problem in complex analysis.