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Poisson type inequalities with respect to a cone and their applications. (English) Zbl 1369.31010

Summary: In this paper, we establish new Poisson type inequalities with respect to a cone. As applications, the integral representations of harmonic functions are also obtained.

MSC:

31B05 Harmonic, subharmonic, superharmonic functions in higher dimensions
31B10 Integral representations, integral operators, integral equations methods in higher dimensions
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