Weighted estimates for the Berezin transform and Bergman projection on the unit ball

Autor:	Robert Rahm, Edgar Tchoundja, Brett D. Wick
Rok vydání:	2016
Předmět:	Unit sphere Mathematics::Functional Analysis Mathematics::Complex Variables General Mathematics 010102 general mathematics Mathematical analysis 01 natural sciences Berezin transform Harmonic analysis 0103 physical sciences 010307 mathematical physics 0101 mathematics Constant (mathematics) Projection (set theory) Mathematics
Zdroj:	Mathematische Zeitschrift. 286:1465-1478
ISSN:	1432-1823 0025-5874
DOI:	10.1007/s00209-016-1809-4
Popis:	Using modern techniques of dyadic harmonic analysis, we are able to prove sharp estimates for the Bergman projection and Berezin transform and more general operators in weighted Bergman spaces on the unit ball. The estimates are in terms of the Bekolle-Bonami constant of the weight.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::b7dc6d0ea99fe5762bfbfc5d45fdacb9 https://doi.org/10.1007/s00209-016-1809-4 Zobrazit plný text záznamu Full text from SpringerLink