Year: 2026
Type: preprint
Abstract: We study embeddings and operators on the Möbius-invariant spaces $Q_K$ using two dyadic capacities. One capacity is defined by analytic packets; the other is defined by domination of positive semidefinite matrices. We prove that they are equivalent. They give criteria for bounded and compact embeddings $Q_K\to L^2(μ)$, bounded and compact Volterra operators, and pointwise multipliers. For the weights $K(t)=t^p/\log^β(e/t)$, $0
Source: arXiv (Cornell University)
Authors: Cao, Wujun, Jiang, Zhouyuan, Li, Songxiao
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7203874756