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Square area integral estimates for subharmonic functions in NTA domains

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Arkiv för Matematik

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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Authors and Affiliations

  1. Department of Mathematics and Computer Science, University of Missouri-St. Louis, 63121-4499, St. Louis, MO, USA

    Shiying Zhao

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  1. Shiying Zhao
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Zhao, S. Square area integral estimates for subharmonic functions in NTA domains. Ark. Mat. 30, 345–365 (1992). https://doi.org/10.1007/BF02384880

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  • DOI: https://doi.org/10.1007/BF02384880

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