Subharmonic Functions of Order Less than One |
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Authors: | Email author" target="_blank">Rapha?le?SupperEmail author |
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Institution: | (1) UFR de Mathématique et Informatique, URA CNRS 001, Université Louis Pasteur, 7 rue René Descartes, F-67 084 Strasbourg Cedex, France |
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Abstract: | We study suhharmonic functions u in RN (N 3) of order at most one, growing so slowly that
for some function , with M(u,r)=max |x|=ru(x). We obtain minorisations for negative values of u(x) and estimations of the difference u(y)–u(x) for x and y on a same sphere.
Mathematics Subject Classifications (2000) 31B05, 31B10; secondary: 26A12, 26D15. |
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Keywords: | subharmonic functions Riesz measure order of growth |
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