منابع مشابه
Subharmonic functions on discrete structures
We define the Laplacian on an arbitrary set with a not necessarily symmetric weight function and discuss the Dirichlet problem and other classical topics in this setting.
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 کاملMultiplication of Subharmonic Functions
We study subharmonic functions in the unit ball of R , with either a Bloch–type growth or a growth described through integral conditions involving some involutions of the ball. Considering mappings u 7→ gu between sets of functions with a prescribed growth, we study how the choice of these sets is related to the growth of the function g.
متن کاملApproximation 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 کاملFluctuation bounds for subharmonic functions
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.
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ژورنال
عنوان ژورنال: Bulletin of the American Mathematical Society
سال: 1947
ISSN: 0002-9904
DOI: 10.1090/s0002-9904-1947-08743-7