Muckenhoupt and Reverse Holder classes of weights via summation conditions.<br/><br/>

Friday, June 1, 2012 - 4:00pm - 4:30pm
Keller 3-180
Oleksandra Beznosova (Baylor University)
We look at the summation conditions of the Buckley type for the Reverse Holder and Muckenhoupt weights and deduce them from an intrinsic lemma which gives a summation representation of the bumped average of a weight. We also obtain summation conditions for continuous Reverse Holder and Muckenhoupt classes and both continuous and dyadic weak Reverse Holder classes. We also show that the constant in each summation inequality of Buckley's type is comparable to the corresponding Muckenhoupt and Reverse Holder constant. To prove our results we use Bellman function method.

It is a joint work with Sasha Reznikov.
MSC Code: