Mathematical Society of the Rep. of China;Mathematical Society of the Republic of China
摘要:
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