Open AccessThe modification of Poisson-Sch integral on cones and its applications
Author(s) -
Jinjin Huang,
Beatriz Ychussie
Publication year - 2016
Publication title -
filomat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 34
eISSN - 2406-0933
pISSN - 0354-5180
DOI - 10.2298/fil1612291h
Subject(s) - mathematics , poisson distribution , operator (biology) , integral geometry , mathematical analysis , harmonic , pure mathematics , statistics , biochemistry , chemistry , physics , repressor , quantum mechanics , transcription factor , gene
In this paper, we construct a modified Poisson-Sch integral on cones. As applications, we not only obtain the asymptotic behaviors of generalized harmonic functions but also characterize the geometrical properties of the exceptional sets with respect to the Schr\"{o}dinger operator on cones.
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