## Taiwanese Journal of Mathematics

### TWO WEIGHT INEQUALITIES FOR THE BERGMAN PROJECTION WITH DOUBLING MEASURES

#### Abstract

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.

#### Article information

Source
Taiwanese J. Math., Volume 19, Number 3 (2015), 919-926.

Dates
First available in Project Euclid: 4 July 2017

Permanent link to this document
https://projecteuclid.org/euclid.twjm/1499133669

Digital Object Identifier
doi:10.11650/tjm.19.2015.5138

Mathematical Reviews number (MathSciNet)
MR3353260

Zentralblatt MATH identifier
1357.47049

#### Citation

Fang, Xiang; Wang, Zipeng. TWO WEIGHT INEQUALITIES FOR THE BERGMAN PROJECTION WITH DOUBLING MEASURES. Taiwanese J. Math. 19 (2015), no. 3, 919--926. doi:10.11650/tjm.19.2015.5138. https://projecteuclid.org/euclid.twjm/1499133669

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