15:30 - 16:30, May 28, 2024 (Tuesday) Room 509, Cosmology Building, National Taiwan University + Zoom, Physical+Online Seminar
(實體+線上演講 台灣大學次震宇宙館509研討室+ Zoom)
On the Theory of Compact Calderón-Zygmund Operators Cody Stockdale (Clemson University)
Abstract
We present new developments in the theory of compact Calderón-Zygmund operators. In particular, we give a new formulation of the T1 theorem for compactness of CZ operators, which, compared to existing compactness criteria, more closely resembles David and Journé’s classical T1 theorem for boundedness and follows from a simpler argument. Our methods generalize to treat a class of "localized" operators on a Hilbert space -- we apply this abstraction to characterize the compact pseudodifferential operators on . Additionally, we discuss the extension of compact CZ theory to weighted Lebesgue spaces via sparse domination methods.
This talk is based on joint works with Mishko Mitkovski, Paco Villarroya, Cody Waters, and Brett Wick.
