Regularity properties of maximal functions
 
 
Description:  In this talk I will briefly survey the regularity theory for maximal operators in Sobolev and BV spaces. It has been conjectured for more than a decade that the classical centered one-dimensional Hardy-Littlewood maximal operator should not increase the variation of a function. The answer for this particular question is still unknown, but in this talk I will show a proof of the analogous conjecture for other classical maximal operators of convolution type with smooth kernels, namely the heat flow maximal function and the Poisson maximal function and discuss some discrete analogues.
Date:  2015-06-08
Start Time:   11:00
Speaker:  Emanuel Carneiro (IMPA, Rio de Janeiro, Brazil)
Institution:  IMPA, Rio de Janeiro, Brazil
Place:  Room 5.5
Research Groups: -Analysis
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