Square area integral estimates for subharmonic functions in NTA domains |
| |
Authors: | Shiying Zhao |
| |
Institution: | (1) Department of Mathematics and Computer Science, University of Missouri-St. Louis, 63121-4499 St. Louis, MO, USA |
| |
Abstract: | In this paper, we prove a good-λ inequality between the nontangential maximal function and the square area integral of a subharmonic
functionu in a bounded NTA domainD inR
n
. We achieve this by showing that a weighted Riesz measure ofu is a Carleson measure, with the Carleson norm bounded by a constant independent ofu. As consequences of the good-λ inequality, we obtain McConnell-Uchiyama's inequality and an analogue of Murai-Uchiyama's
inequality for subharmonic functions inD. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|