Mark G. Lawrence

collaborators

3 papers

math.CV2022

Real Analytic Bergman Spaces

Mark G. Lawrence

The usual examples of Bergman spaces consist of the closure of an algebra of holomorphic functions on a domain. One can also take the real part of such functions, but essentially o…

math.CV2022

Bergman-Szegő asymptotic formulas and the strip problem

Mark G. Lawrence

Identifying holomorphic functions by moment conditions is a classical problem. This paper explores ideas introduced by Tumanov in a well known paper on the strip problem, and build…

math.CV2014

Bernstein-Walsh inequalities in higher dimensions over exponential curves

Shirali Kadyrov, Mark Lawrence

Let $x = (x_{1}, \dots, x_{d}) \in [- 1, 1]^{d}$ be linearly independent over $Z$ , set $K = {(e^{z}, e^{x_{1} z}, e^{x_{2} z} \dots, e^{x_{d} z}) : ∣ z ∣ \leq 1} .$ We prove sharp estimates for…