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Date:
Tuesday, 3 Mar. 2026, 09:00-10:00 TST (GMT+8) , in Room M212 in NTNU
Gongguan Campus Mathematics Building Speaker:Long Huang,
Guangzhou University
Title: Capacitary Muckenhoupt weights
Abstract:
In this talk, we mainly introduce a new class of capacitary Muckenhoupt weights denoted by \( A_{p,\delta} \).
It is proved to be a proper subset of standard Muckenhoupt's \( A_p \) weight.
By proposing a new approach, we then show Muckenhoupt's theorem, reverse Hölder's inequality,
self-improving property, and Jones' factorization theorem within this capacitary Muckenhoupt weight framework.
Finally, we will reveal the deep connections between \( A_{p,\delta} \) with \( \text{BMO} \) and
\( \text{BLO} \) spaces with respect to Hausdorff contents.