Presentation Name: The heat maximal function and a Hardy space for the affine group
Presenter🕑: Prof. Peter Sj¨ogren
Date: 2011-10-27
Location: 光华东主楼 1415
Abstract:

This is joint work with M. Vallarino. In the setting of

the three-dimensional affine group $ax+b$, Vallarino has introduced
an atomic Hardy space $H^1$. It is inspired by Hebisch
and Steger's version of the Calder/'on-Zygmund decomposition on
this and similar groups of exponential growth. We prove that
the heat maximal operator maps $H^1$ into  $L^1$, but that this does not give
 a characterisation of $H^1$.

 

Annual Speech Directory🧨: No.118

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