Papers
Topics
Authors
Recent
Gemini 2.5 Flash
Gemini 2.5 Flash
184 tokens/sec
GPT-4o
7 tokens/sec
Gemini 2.5 Pro Pro
45 tokens/sec
o3 Pro
4 tokens/sec
GPT-4.1 Pro
38 tokens/sec
DeepSeek R1 via Azure Pro
28 tokens/sec
2000 character limit reached

Weighted estimates of the Bergman projection with matrix weights (2012.13810v3)

Published 26 Dec 2020 in math.CV and math.CA

Abstract: We establish a weighted inequality for the Bergman projection with matrix weights for a class of pseudoconvex domains. We extend a result of Aleman-Constantin and obtain the following estimate for the weighted norm of $P$: [|P|_{L2(\Omega,W)}\leq C(\mathcal B_2(W)){{2}}.] Here $\mathcal B_2(W)$ is the Bekoll\'e-Bonami constant for the matrix weight $W$ and $C$ is a constant that is independent of the weight $W$ but depends upon the dimension and the domain.

Citations (5)

Summary

We haven't generated a summary for this paper yet.