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- Title
Dyadic decomposition of convex domains of finite type and applications.
- Authors
Gan, Chun; Hu, Bingyang; Khan, Ilyas
- Abstract
In this paper, we introduce a dyadic structure on convex domains of finite type via the so-called dyadic flow tents. This dyadic structure allows us to establish weighted norm estimates for the Bergman projection P on such domains with respect to Muckenhoupt weights. In particular, this result gives an alternative proof of the L p boundedness of P. Moreover, using extrapolation, we are also able to derive weighted vector-valued estimates and weighted modular inequalities for the Bergman projection.
- Subjects
CONVEX domains; BERGMAN spaces; EXTRAPOLATION
- Publication
Mathematische Zeitschrift, 2022, Vol 301, Issue 2, p1939
- ISSN
0025-5874
- Publication type
Article
- DOI
10.1007/s00209-022-02984-y