BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Rajula Srivastava (University of Bonn - Max Planck Institute for M athematics) DTSTART:20230111T170000Z DTEND:20230111T180000Z DTSTAMP:20260423T052623Z UID:HAeS/39 DESCRIPTION:Title: Th e Korányi Spherical Maximal Function on Heisenberg groups\nby Rajula Srivastava (University of Bonn - Max Planck Institute for Mathematics) as part of Harmonic analysis e-seminars\n\n\nAbstract\nIn this talk\, we disc uss the problem of obtaining sharp $L^p \\to L^q$ estimates for the local maximal operator associated with averaging over dilates of the Korányi sp here on Heisenberg groups. This is a codimension one surface compatible wi th the non-isotropic Heisenberg dilation structure. I will describe the ma in features of the problem\, some of which are helpful while others are ob structive. These include the non-Euclidean group structure (the extra “t wist” due to the Heisenberg group law)\, the geometry of the Korányi sp here (in particular\, the flatness at the poles) and an “imbalanced” s caling argument encapsulated by a new type of Knapp example\, which we sha ll describe in detail.\n LOCATION:https://researchseminars.org/talk/HAeS/39/ END:VEVENT END:VCALENDAR