Browsing 2016 by MSC "47"
Now showing items 1-2 of 2
Boundary Representations of Operator Spaces, and Compact Rectangular Matrix Convex Sets [OWP-2016-24] (Mathematisches Forschungsinstitut Oberwolfach, 2016-12-13)We initiate the study of matrix convexity for operator spaces. We define the notion of compact rectangular matrix convex set, and prove the natural analogs of the Krein-Milman and the bipolar theorems in this context. We ...
On Weak Weighted Estimates of Martingale Transform [OWP-2016-22] (Mathematisches Forschungsinstitut Oberwolfach, 2016-11-12)We consider several weak type estimates for singular operators using the Bellman function approach. We disprove the $A_1$ conjecture, which stayed open after Muckenhoupt-Wheeden's conjecture was disproved by Reguera-Thiele.