Pluricomplex Green and Lempert functions for equally weighted poles

Computing the Pluricomplex Green Function with Two Poles

Lipschitzness of the Lempert and Green Functions

Necessary and sufficient conditions for Lipschitzness of the Lempert and Green functions are found in terms of their boundary behaviors.

On the Regularity of the Pluricomplex Green Functions

On Lempert Functions in C

We give a characterization of all cartesian products D1×D2 ⊂ C for which the Lempert function and the injective Lempert function coincide. In particular, we show that there exist domains in C for which they are different.

Weighted Turán Type Inequality for Rational Functions with Prescribed Poles

Firstly, we introduce a new type of weight functions named as N-doubling weights, which is an essential generalization of the well known doubling weights. Secondly, we establish a weighted Turán type inequality with N-doubling weights and a Nikolskii-Turán type inequality for rational functions with prescribed poles. Our results generalize some known Turán type inequality both for polynomials a...