Joint BCAM-UPV/EHU Analysis and PDE seminar: Varopoulos' extensions in domains with Ahlfors-regular boundaries

Date: Thu, May 4 2023

Hour: 12:00

Location: UPV/EHU

Speakers: Thanasis Zacharopoulos


In this talk we shall describe the construction of Varopoulos' type extensions of L^p and BMO boundary functions in rough domains. That is, smooth extensions of functions such that the L^p-norms of their non-tangential maximal function and the Carleson functional of their gradients can be controlled by the norm of the boundary data. After giving the geometric motivation and a brief survey of known results, we will proceed to present a new and more general approach of constructing Varopoulos' extensions in domains with minor geometrical assumptions for the boundaries. This talk is based on joint work with Mihalis Mourgoglou. 

More info at



Confirmed speakers:

Thanasis Zacharopoulos