Ομιλητής : Αθανάσιος Ζαχαρόπουλος (Universidad del País Vasco).
Μέρος, ώρα : Δευτέρα, 25 Σεπτεμβρίου 2023, Προσοχή στην αίθουσα –> Αίθουσα Γ31, Τμήμα Μαθηματικών, ΕΚΠΑ , Ώρα: 13:00
Τίτλος : “Varopoulos’ extensions in domains with Ahlfors-regular boundaries”
Abstract : ”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.
Περισσότερες πληροφορίες για το σεμινάριο στη διεύθυνση: https://sites.google.com/view/analysis-seminar-samps/