14:00 - 15:00, November 13, 2024 (Wednesday) Room 515, Cosmology Building, NTU
(臺灣大學次震宇宙館 515研討室)
On Functions of Bounded β-dimensional Mean Oscillation and Its Applications You-Wei Chen (National Taiwan University)
Abstract
In this talk, we introduce the concept of -dimensional mean oscillation of functions , characterized by the norm
where denotes the side length of the cube and represents the Hausdorff content. Our main result asserts that for every , there exist constants such that
holds for every , , , and suitable . Additionally, we demonstrate that for non-negative measurable functions .
if and only if for ,where denotes the Riesz potential of order .
