Por Cristian González-Riquelme (CAMGSD, Instituto Superior Técnico).

Maximal operators are a central object in harmonic analysis, The oscillatory behavior of such objects has been an object of study for many authors over the last decades. However, even in the one dimensional case, there are still interesting questions that remain open. In this talk, we will discuss recent developments and open questions about this topic, particularly about the boundedness and continuity for such operators at the derivative level and its relation with some results regarding the regularity improving properties of these operators.

The Lisbon Webinar in Analysis in Differential Equations is a joint iniciative of CAMGSD, CMAFcIO and GFM, three research centers of the University of Lisbon. It is aimed at filling the absence of face-to-face seminars and wishes to be a meeting point of mathematicians working in the field.

Transmissão via Zoom (pw: lisbonwade).