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Caltech

Caltech/UCLA Joint Analysis Seminar

Tuesday, November 17, 2020
3:00pm to 3:50pm
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Online Event
BV and Sobolev continuity for maximal operators

The regularity of maximal operators has been a topic of interest in harmonic analysis over the past decades. In this topic we are interested in what can be said about the variation of a maximal function Mf given some information about the original function f. In this talk we present some recent results about the continuity of the map f↦ ∇Mf for the uncentered Hardy-Littlewood maximal operator in both the BV(ℝ) and the W1,1rad(ℝd) settings.

This is based on joint works with D. Kosz (BV case) and E. Carneiro and J. Madrid (radial case)

For more information, please contact Math Department by phone at 626-395-4335 or by email at [email protected].