GORT

Reviews

A Generalized Mean Value Inequality For Subharmonic Functions

Di: Everly

SUBHARMONIC FUNCTIONS, MEAN VALUE INEQUALITY, BOUNDARY BEHAVIOR, NONINTEGRABILITY AND EXCEPTIONAL SETS JUHANI RIIHENTAUS ABSTRACT. We

We give a characterization of harmonic and subharmonic functions in terms of their mean values in balls and on spheres. This includes the converse of an inequality of Beardon’s for

(PDF) A Littlewood--Paley theorem for subharmonic functions

arXiv:math/0312508v3 [math.AP] 1 Nov 2006

inequality for positive subharmonic functions holds, then the space of harmonic functions of polynomial growth of degree at mostd is nite dimensional. Note that if a manifold satis es

SUBHARMONIC FUNCTIONS, MEAN VALUE INEQUALITY, BOUNDARY BEHAVIOR, NONINTEGRABILITY AND EXCEPTIONAL SETS JUHANI RIIHENTAUS ABSTRACT. We

  • arXiv:math/0312508v2 [math.AP] 31 Dec 2003
  • Properties of subharmonic functions
  • A NOTE ON HARMONIC FORMS ON COMPLETE MANIFOLDS
  • A Generalized Mean Value Inequality for Subharmonic Functions

Do you know the proof for the corresponding property for harmonic functions (the „mean value property“)? If so, try to look at all the places where you use the harmonicity and

Comments. Axiomatic potential theory can be founded upon the properties 1) and 3), completed by some additional properties of the set $ S $ of negative subharmonic

We begin by shortly recalling a generalized mean value inequality for subharmonic functions, and two applications of it: first a weighted boundary behavior result (with some new

A generalized mean value inequality for subharmonic functions 来自 dx.doi.org 喜欢 0. 阅读量： 54. 作者： J Riihentaus. 展开 . 摘要： If u ≥ 0 is subharmonic on a domain Ω in n and 0 < p <

A similar result is obtained also for generalized mean value inequalities where, instead of balls, we consider arbitrary bounded sets which have nonvoid interiors and instead of the volume of

Mean values of subharmonic functions

Generalizing older works of Domar and Armitage and Gardiner, we give an inequality for quasinearly subharmonic functions. As an application of this inequality, we

We generalize the well-known mean value inequality of subharmonic functions for a slightly more general function class. We also apply this generalized mean Skip to main content. We will

Request PDF | A remark concerning generalized mean value inequalities for subharmonic functions | The mean value inequality is characteristic for upper semicontinuous

Quasinearly subharmonic functions generalize subharmonic functions. We find the necessary and sufficient conditions under which subsets of balls are big enough for the catheterization of

We begin by shortly recalling a generalized mean value inequality for subharmonic functions, and two applications of it: first a weighted boundary behavior result

We begin by shortly recalling a generalized mean value inequality for subharmonic functions, and two applications of it: first a weighted boundary behavior resul t (with some new references

A arXiv:1208.2117v1 [math.AP] 10 Aug 2012

We point out that our function class includes, among others, quasisubharmonic functions, nearly subharmonic functions (in a slightly generalized sense) and almost

and outside the integral), mean value inequalities which do not become equalities in the limit, further speci c conditions on geometric and topological properties of manifolds, and terms

It turns out you can always approximate a subharmonic function by smooth subharmonic functions, so you aren’t really losing any generality by doing so. $(iv)\iff(iii)$: This is more or

We begin by shortly recalling a generalized mean value inequality for subharmonic functions, and two applications of it: first a weighted boundary behavior result

A GENERALIZED MEAN VALUE INEQUALITY FOR SUBHARMONIC FUNCTIONS AND APPLICATIONS JUHANI RIIHENTAUS ABSTRACT. If u ≥0 is subharmonic on a domain Ωin

Integral Meaning

Abstract: We begin by shortly recalling a generalized mean value inequality for subharmonic functions, and two applications of it: first a weighted boundary behavior result

A NOTE ON HARMONIC FORMS ON COMPLETE MANIFOLDS

We pro ve a mean value inequality for subharmonic functions of a regular Dirichlet form in a dou- bling metric measure space, assuming that the Dirichlet form satisfies the

A GENERALIZED MEAN VALUE INEQUALITY FOR SUBHARMONIC FUNCTIONS AND APPLICATIONS JUHANI RIIHENTAUS ABSTRACT. If u ≥0 is subharmonic on a domain Ωin

The mean value inequality is characteristic for upper semicontinuous functions to be subharmonic. Quasinearly subharmonic functions generalize subharmonic functions. We find the necessary

We begin by shortly recalling a generalized mean value inequality for subharmonic functions, and two applications of it: first a weighted boundary behavior result (with some new references and

Show that $f^\epsilon$ satisfies the same local mean value inequality. Since $f^\epsilon$ is smooth, you can conclude that $\Delta f^\epsilon \geq 0$, and so $f^\epsilon$

A generalized mean value inequality for subharmonic functions. Expo. Math. (2001) V.L. Shapiro Subharmonic functions and Hausdorff measure. J. Differential Equations

We propose here the following concise result, which generalizes all the cited meanvalue results for subharmonic functions. 2. Theorem. Let u be a nonnegative

Supporting: 2, Mentioning: 14 – If u ≥ 0 is subharmonic on a domain Ω in R n and p > 0, then it is well-known thatWe recently showed that a similar result holds more generally for functions of

We prove a mean value inequality for subharmonic functions of a regular Dirichlet form in a doubling metric measure space, assuming that the Dirichlet form satisfies the Faber-Krahn

Quasinearly subharmonic functions generalise subharmonic functions. We find the necessary and sufficient conditions under which subsets of balls are big enough for the characterisation of non

The definition of a relatively new function class, quasi-nearly subharmonic functions, is based on such a generalized mean value inequality. It is pointed out that the