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Volume 17, Issue 3
The Area Integral on Negative Curvature Space Form

Meng Wang & Yi Zhao

J. Part. Diff. Eq., 17 (2004), pp. 193-197.

Published online: 2004-08

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  • Abstract

In this note, we show that the area integral of positive harmonic functions on a constant negative curvature space form is almost everywhere finite with respect to a harmonic measure on S(∞).

  • Keywords

harmonic function area integral negative curvature

  • AMS Subject Headings

32Q05 42B20

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{JPDE-17-193, author = {}, title = {The Area Integral on Negative Curvature Space Form}, journal = {Journal of Partial Differential Equations}, year = {2004}, volume = {17}, number = {3}, pages = {193--197}, abstract = {

In this note, we show that the area integral of positive harmonic functions on a constant negative curvature space form is almost everywhere finite with respect to a harmonic measure on S(∞).

}, issn = {2079-732X}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jpde/5386.html} }
TY - JOUR T1 - The Area Integral on Negative Curvature Space Form JO - Journal of Partial Differential Equations VL - 3 SP - 193 EP - 197 PY - 2004 DA - 2004/08 SN - 17 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jpde/5386.html KW - harmonic function KW - area integral KW - negative curvature AB -

In this note, we show that the area integral of positive harmonic functions on a constant negative curvature space form is almost everywhere finite with respect to a harmonic measure on S(∞).

Meng Wang & Yi Zhao . (2019). The Area Integral on Negative Curvature Space Form. Journal of Partial Differential Equations. 17 (3). 193-197. doi:
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