Endpoint estimates for maximal operators associated to the wave equation

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speaker: Wenjuan Li

time:  2025.5.29,14:00-15:00 pm

 place: Teaching Building 202

 Abstract:

We consider the H^s-L^q maximal estimates associated to the wave operator  

Rogers Villaroya proved H^s-L^q estimates for the maximal operator up to the eritical Sobolev expouents . However, the endpoint case estimates for the critical exponent have remained open so far.We obtain the endpoint  bounded on the maximal operator . We also prove that several different forms of the maximal estimates considered by Rogers-Villarroya are basically equivalent to each other. This is a joint work with Chuhee Cho and Sanghyuk Lee.


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