Two weight inequalities for the Bergman projection with doubling measures

Please use this identifier to cite or link to this item: https://ir.lib.ncu.edu.tw/handle/987654321/109305

Title:	Two weight inequalities for the Bergman projection with doubling measures
Authors:	方向;Fang, Xiang;Wang, Zipeng
Contributors:	理學院數學系
Keywords:	Folklore;Mathematical inequalities;Mathematical theorems;Preprints
Date:	2015-01-01
Issue Date:	2026-04-23 16:25:21 (UTC+8)
Publisher:	Mathematical Society of the Rep. of China;Mathematical Society of the Republic of China
Abstract:	摘要： In this note we show that the problem of characterizing two weight norm inequalities for the Bergman projection under the assumption of doubling measures admits a surprisingly simple solution. Our principal discovery is that Sawyer-type testing can be avoided. This stands in sharp contrast with the current folklore in two weight theory and with the corresponding result for the Hilbert transform. 2010Mathematics Subject Classification: 47G10, 42A50. Key words and phrases: Reverse doubling property, Weighted norm inequalities, Bergman projection. 出版者： Mathematical Society of the Republic of China 出版日期： 2015-06-01 出處： Taiwanese journal of mathematics, 2015-06, Vol.19 (3), p.919-926 資源來源： JSTOR Arts & Sciences XV 版權： 2015 Mathematical Society of the Republic of China 識別號： ISSN: 1027-5487 識別號： EISSN: 2224-6851 識別號： DOI: 10.11650/tjm.19.2015.5138
Appears in Collections:	[Department of Mathematics] journal & Dissertation

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