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NCTS-NCU Seminar on Non-doubling Space
 
16:00 - 17:30, September 25, 2018 (Tuesday)
M412-2, Hong-Jing Hall, NCU
(中央大學鴻經館 M412-2)
NCTS-NCU Seminar on Non-doubling Space (III)
Chin-Cheng Lin (National Central University)

Abstract:

Consider a non-doubling space like a non-doubling manifold with ends which is formed by connecting (smoothly) a copy of  with . Grigoryan and Saloff-Coste studied the heat kernel of the Laplace Beltrami operator in this setting. Duong-Li-Bui-Wick recently proved that some holomorphic functional calculus is weak type (1,1) and bounded on  in this setting.
Question: how do we define appropriate weights in this setting to study singular integrals in this non-doubling setting? The usual Muckenhoupt weights need the underlying space to be doubling and we do not know any work about weighted estimates in non-doubling setting.
 


 

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