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11.
Janne?Gr?hnEmail author Artur?Nicolau Jouni?R?tty? 《Journal d'Analyse Mathématique》2018,134(2):747-768
The aim of this paper is to consider certain conditions on the coefficient A of the differential equation f″ + Af = 0 in the unit disc which place all normal solutions f in the union of Hardy spaces or result in the zero-sequence of each non-trivial solution being uniformly separated. The conditions on the coefficient are given in terms of Carleson measures. 相似文献
12.
Bounded and compact Carleson measures in the unit ball B of R n , n ≥ 2, are characterized by means of global Dirichlet integrals of the conformal self‐map Ta taking a ∈ B to the origin. The same proof applies in the unit ball of C n . It is also proved that the powers of the Jacobian of Ta satisfy the weak Harnack inequality and even Harnack's inequality with a constant independent of a. As an application of these results it is shown that the two different definitions for Carleson measures in the existing literature are equivalent for a certain range of parameter values. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim) 相似文献