Fluctuation bounds for subharmonic functions
نویسنده
چکیده
We obtain bounds for the angular fluctuations of a subharmonic function f(z) = R log |z− w| dμ(w) in terms of the distribution of the angular mean. This can be applied to study the regularity of subharmonic functions.
منابع مشابه
Approximation of Subharmonic Functions
In certain classes of subharmonic functions u on C distinguished in terms of lower bounds for the Riesz measure of u, a sharp estimate is obtained for the rate of approximation by functions of the form log |f(z)|, where f is an entire function. The results complement and generalize those recently obtained by Lyubarskĭı and Malinnikova. §
متن کاملVortex pairing in an axisymmetric jet using two-frequency acoustic forcing at low to moderate strouhal numbers
Hot-wire measurement and multi-smoke wire flow visualization method are employed to study vortex pairing in the jet column mode under two-frequency forcing with controlled initial phase differences. For the range of 0.3\St D \0.6, vortex pairing can be easily controlled by means of the fundamental and its subharmonic forcing with varying initial phase differences. As stable vortex pairing domin...
متن کاملSeparately subharmonic functions and quasi-nearly subharmonic functions
First, we give the definition for quasi-nearly subharmonic functions. Second, after recalling the existing subharmonicity results of separately subharmonic functions, we give corresponding counterparts for separately quasi-nearly subharmonic functions, thus generalizing previous results of Armitage and Gardiner, of ours, of Arsove, of Avanissian, and of Lelong.
متن کاملCoefficient Bounds for Analytic bi-Bazileviv{c} Functions Related to Shell-like Curves Connected with Fibonacci Numbers
In this paper, we define and investigate a new class of bi-Bazilevic functions related to shell-like curves connected with Fibonacci numbers. Furthermore, we find estimates of first two coefficients of functions belonging to this class. Also, we give the Fekete-Szegoinequality for this function class.
متن کاملError bounds in approximating n-time differentiable functions of self-adjoint operators in Hilbert spaces via a Taylor's type expansion
On utilizing the spectral representation of selfadjoint operators in Hilbert spaces, some error bounds in approximating $n$-time differentiable functions of selfadjoint operators in Hilbert Spaces via a Taylor's type expansion are given.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2004