Joint BCAM-UPV/EHU Analysis and PDE seminar: Inhomogeneous cancellation conditions and boundedness of Calderón-Zygmund type operators on local Hardy spaces

Abstract

In this talk, we will discuss some boundedness results for strongly singular Calderón-Zygmund-type operators on Hardy spaces Hp (Rn) and its local version hp (Rn) for 0 < p ≤ 1. Operators of this type are generalizations of weakly-strongly multipliers and include appropriate classes of pseudodifferential operators in the H ̈ormander class OpSmσ,δ(Rn). In particular, in order to show these continuity results, we assume a weaker integral condition on its kernel and present a new molecular approach for the local Hardy space hp (Rn), where an appropriate cancellation condition is assumed.

Joint work with Tiago Picon (University of S ̃ao Paulo), Galia Dafni
and Chun Ho Lau (Concordia University).


Link to the session: 
https://us06web.zoom.us/j/99649860282?pwd=SE0vemtYMFlwbFBNTXQyOTBONG0vZz09


More info at https://sites.google.com/view/apdebilbao/home