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  1. Bulletin of the Brazilian Mathematical Society
  2. Bulletin of the Brazilian Mathematical Society : Volume 45
  3. Bulletin of the Brazilian Mathematical Society : Volume 45, Issue 3, September 2014
  4. Estimates for nonlinear harmonic measures on trees
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Bulletin of the Brazilian Mathematical Society : Volume 48
Bulletin of the Brazilian Mathematical Society : Volume 47
Bulletin of the Brazilian Mathematical Society : Volume 46
Bulletin of the Brazilian Mathematical Society : Volume 45
Bulletin of the Brazilian Mathematical Society : Volume 45, Issue 4, December 2014
Bulletin of the Brazilian Mathematical Society : Volume 45, Issue 3, September 2014
Flat deformations of ℙ n
Rigidity theorems for hypersurfaces with constant mean curvature
Estimates for nonlinear harmonic measures on trees
Properly discontinuous actions on Hilbert manifolds
Umbilic singularities and lines of curvature on ellipsoids of ℝ4
On the stability of minimal cones in warped products
Integration of complex polynomial differential equations in higher dimension, a first step: Lie transverse structure
About C 1-minimality of the hyperbolic Cantor sets
Generalized Fibonacci numbers of the form 2 a + 3 b + 5 c
On integers which are the sum of a power of 2 and a polynomial value
On Selmer groups of abelian varieties over ℓ-adic Lie extensions of global function fields
Bulletin of the Brazilian Mathematical Society : Volume 45, Issue 2, June 2014
Bulletin of the Brazilian Mathematical Society : Volume 45, Issue 1, March 2014
Bulletin of the Brazilian Mathematical Society : Volume 44
Bulletin of the Brazilian Mathematical Society : Volume 43
Bulletin of the Brazilian Mathematical Society : Volume 42
Bulletin of the Brazilian Mathematical Society : Volume 41
Bulletin of the Brazilian Mathematical Society : Volume 40
Bulletin of the Brazilian Mathematical Society : Volume 39
Bulletin of the Brazilian Mathematical Society : Volume 38
Bulletin of the Brazilian Mathematical Society : Volume 37
Bulletin of the Brazilian Mathematical Society : Volume 36
Bulletin of the Brazilian Mathematical Society : Volume 35
Bulletin of the Brazilian Mathematical Society : Volume 34
Bulletin of the Brazilian Mathematical Society : Volume 33
Bulletin of the Brazilian Mathematical Society : Volume 32
Bulletin of the Brazilian Mathematical Society : Volume 31
Bulletin of the Brazilian Mathematical Society : Volume 30
Bulletin of the Brazilian Mathematical Society : Volume 29
Bulletin of the Brazilian Mathematical Society : Volume 28

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Estimates for nonlinear harmonic measures on trees

Content Provider SpringerLink
Author Mosquera, Carolina A. Pezzo, Leandro M. Rossi, Julio D.
Copyright Year 2014
Abstract In this paper we give some estimates for nonlinear harmonic measures on trees. In particular, we estimate in terms of the size of a set D the value at the origin of the solution to u(x) = F((x, 0),...,(x,m − 1)) for every x ∈ $\mathbb{T}_m $ , a directed tree with m branches with initial datum f + χD. Here F is an averaging operator on ℝ m , x is a vertex of a directed tree $\mathbb{T}_m $ with regular m-branching and (x, i) denotes a successor of that vertex for 0 ≤ i ≤ m − 1.
Ending Page 432
Page Count 28
Starting Page 405
File Format PDF
ISSN 16787544
e-ISSN 16787714
Journal Bulletin of the Brazilian Mathematical Society
Issue Number 3
Volume Number 45
Language English
Publisher Springer Berlin Heidelberg
Publisher Date 2014-10-01
Publisher Place Berlin, Heidelberg
Access Restriction One Nation One Subscription (ONOS)
Subject Keyword harmonic measures Boundary value problems for second-order elliptic equations directed trees Potential theory on metric spaces Theoretical, Mathematical and Computational Physics Mathematics Contents, measures, outer measures, capacities averaging operators
Content Type Text
Resource Type Article
Subject Mathematics
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