publication . Article . 2019

Analytic $$Q_{\log ,p}$$Qlog,p Spaces

S. Luo; Jie Xiao;
Closed Access
  • Published: 14 Jan 2019 Journal: The Journal of Geometric Analysis, volume 30, pages 274-309 (issn: 1050-6926, eissn: 1559-002X, Copyright policy)
  • Publisher: Springer Science and Business Media LLC
Abstract
As a novel bridge between the Dirichlet space $${\mathcal {D}}$$, the John–Nirenberg space $$\mathcal {BMOA}$$, and the Bloch space $${\mathcal {B}}$$ on the unit disk, the Moebius invariant analytic function space $$Q_{\log ,p}$$ founded directly on a Moebius invariant isoperimetry is discovered in accordance with the Moebius invariant inclusion chain $${\mathcal {H}}^\infty \subsetneq \mathcal {BMOA}\subsetneq {\mathcal {B}}$$, where $${\mathcal {H}}^\infty $$ is the Hardy algebra of all bounded analytic functions on the unit disk.
Persistent Identifiers
Subjects
Fields of Science and Technology classification: 01 natural sciences0101 mathematics0103 physical sciences010307 mathematical physics010102 general mathematics
arXiv: Mathematics::Complex Variables
free text keywords: Geometry and Topology, Mathematics, Differential geometry, Dirichlet space, Unit disk, Bloch space, Analytic function, Invariant (mathematics), Bounded function, Combinatorics
Funded by
NSERC
Project
  • Funder: Natural Sciences and Engineering Research Council of Canada (NSERC)
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