Title: Weighted restricted weak type inequalities Abstract: We review classical results concerning the bounds of the Hardy-Littlewood maximal operator on weighted Lorentz spaces and discuss the analogous bounds for the pointwise product of such operators. A new Hölder-type inequality for Lorentz spaces is used.
Title: Cowen-Douglas Operators and the Corona Problem Abstract: I will discuss how the recent method used in solving various form of the corona problem can be used to classify Cowen-Douglas operators up to similarity.