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Boundary behavior p-harmonic functions in the Heisenberg group [PDF]
, 2010 We study the boundary behavior of nonnegative p-harmonic functions which vanish on a portion of the boundary of a domain in the Heisenberg group H^n. Our main results are: 1) An estimate from above which shows that, under suitable geometric assumptions ...
Cong Phuc, Nguyen, Nicola Garofalo
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On the asymptotic events of a Markov chain
International Journal of Mathematics and Mathematical Sciences, 1979 In this paper we investigate some structure properties of the tail σ-field and the invariant σ-field of both homogeneous and nonhomogeneous Markov chains as representations for asymptotic events, descriptions of completely nonatomic and atomic sets and ...
Harry Cohn
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Further result on Dirichlet-Sch type inequality and its application
Journal of Inequalities and Applications, 2017 In this paper we deal with a theoretical question raised in connection with the application of Dirichlet-Sch type inequality, obtained by Huang (Int. Math. J.
Liquan Wan
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An extremal harmonic function [PDF]
Proceedings of the American Mathematical Society, 1969 surface 3x=h-'(X) and D(u; X) for the Dirichlet integral over the region ix bounded by a and fi. The main result of this paper is the inequality: maxhJ|Qx=m(h; X)=D(h; X)
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Human brain networks function in connectome-specific harmonic waves
Nature Communications, 2016 A key characteristic of human brain activity is coherent, spatially distributed oscillations forming behaviour-dependent brain networks. However, a fundamental principle underlying these networks remains unknown.
S. Atasoy, I. Donnelly, J. Pearson
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The tri-harmonic Neumann problem
Қарағанды университетінің хабаршысы. Математика сериясы, 2018 In this article investigated the tri-harmonic Neumann function for the unit dics. For harmonics functions the Neumann’s boundary problem is well studied and solved under certain conditions through Neumann’s function, sometimes it is also called Green’s ...
S. Burgumbayeva
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Inequalities of harmonic univalent functions with connections of hypergeometric functions
Open Mathematics, 2015 Let SH be the class of functions f = h+g that are harmonic univalent and sense-preserving in the open unit disk U = { z : |z| < 1} for which f (0) = f'(0)-1=0. In this paper, we introduce and study a subclass H( α, β) of the class SH and the subclass NH(
Sokół Janusz +3 more
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Revisiting Taibleson's theorem
Electronic Research Archive, 2022 A new characterization of the weighted Taibleson's theorem for generalized Hölder spaces is given via a Hadamard-Liouville type operator (Djrbashian's generalized fractional operator).
Humberto Rafeiro, Joel E. Restrepo
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Harmonic Stability in Power Electronic-Based Power Systems: Concept, Modeling, and Analysis
IEEE Transactions on Smart Grid, 2019 The large-scale integration of power electronic-based systems poses new challenges to the stability and power quality of modern power grids. The wide timescale and frequency-coupling dynamics of electronic power converters tend to bring in harmonic ...
Xiongfei Wang, F. Blaabjerg
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An Analytical Dataset of Approaches to V in Mozart
Empirical Musicology Review, 2023 Tonal functions—tonic, pre-dominant, and dominant—are a standard feature of North American music theory. The pre-dominant (PD) encompasses the largest number of chords, varying in quality and scale degrees; unlike the tonic and dominant functions, it is ...
Jenine Brown, Daphne Tan, Michelle Lin
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