Olga Aryasova (Inst. of Geophysics, Nat. Acad. of Sciences of Ukraine / Friedrich–Schiller–Univ. Jena)
We will discuss aspects of classical interpolation theory including properties of the Hardy–Littlewood maximal function and Marcinkiewicz’s interpolation theorem. Further, we will establish the Hörmander condition to obtain weak type estimates for singular integrals. Finally, we will present a condition that is strictly weaker than the Hörmander condition that still allows Lp−interpolation.