Square area integral estimates for subharmonic functions in NTA domains |
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Authors: | Shiying Zhao |
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Institution: | 1. Department of Mathematics and Computer Science, University of Missouri-St. Louis, 63121-4499, St. Louis, MO, USA
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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. |
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