A decomposition theorem for a class of M\"obius invariant function spaces

Release time:2026-05-08

Journal:Journal of Mathematical Analysis and Applications

Abstract:In this paper, we establish a decomposition theorem for a class of M\"obius invariant function spaces induced by the potentials $V_{\mu, p}$ of positive Borel measures $\mu$ on the open unit disk, which generalizes a previous conclusion on M\"obius invariant $\mathcal{Q}_p$ spaces. Our result is also new for some M\"obius invariant function spaces that are sufficiently close to the classical Dirichlet space.

Co-author:Guanlong Bao, Pan Ma

Indexed by:Journal paper

Document Code:130779

Discipline:Natural Science

First-Level Discipline:Mathematics

Document Type:J

Volume:563

Issue:2

Translation or Not:no

Date of Publication:2026-05-11

Included Journals:SCI

Links to published journals:https://www.sciencedirect.com/science/article/pii/S0022247X26003914