Analysis and Probability Seminar

Title: On Gurov-Reshetnyak property
Speaker: Professor Alex Stokolos
Speaker Info: De Paul University
Brief Description:
Special Note:

In the mid of 70s, L.G.Gurov and Yu.G.Reshetnyak introduced in analogy with the definition of BMO the class which consists of all non-negative integrable on cube functions whose integral oscillations does not exceed small constant times integral means over all subcubes of the domain. This class has found interesting applications in quasi-conformal mappings and PDE's. In a joint work with A.A. Korenovskiy and A.K. Lerner we established an equivalence between the Gurov-Reshetnyak and Muckehoupt's A-infinity conditions for arbitrary absolutely continuous measures. Also, we studied maximal Gurov-Reshetnyak condition and proved that for a large class of measures satisfying Busemann-Feller type condition, it will be self-improving as the usual Gurov-Reshetnyak condition. This answers to a question raised by T.Iwaniec and V.I.Kolyada.
Date: Monday, October 10, 2005
Time: 4:10pm
Where: Lunt 105
Contact Person: Prof. Elton P. Hsu
Contact email: elton@math.northwestern.edu
Contact Phone: 847-491-8541
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