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Analysis Seminar: Olli Tapiola

Event Type: 
Olli Tapiola (University of Missouri at Columbia)
Event Date: 
Friday, April 13, 2018 -
3:30pm to 4:30pm
SMLC 356

Event Description: 

Title: What is so difficult about high-dimensional one-sided Muckenhoupt theory?

Abstract: A classical result of Muckenhoupt says that the Hardy-Littlewood maximal operator is bounded from the weighted L^p space to itself if and only if the weight satisfies the so called A_p condition. This result has been generalized and sharpened over and over again in the literature but for the one-sided Hardy-Littlewood maximal operator the result is known only in dimension 1. Although the one-sided theory may seem like simple and straightforward generalization of the original theory, the one-sided nature of the questions actually makes most of known tools useless or hard to use. In this talk, we discuss what is known about this high-dimensional theory and why it is so difficult.

Event Contact

Contact Name: Cristina Pereyra