14 citations · 22 across the 19 of their papers we have counts for
24 papers
Boundedness of Harmonic Conjugation on Weighted Bergman Spaces
Timothy Ferguson
We prove that if a weight is a Bekollé-Bonami weight for some and it satisfies another simple condition that depends on , then the operator taking a function to…
Rational Approximations via Hankel Determinants
Timothy Ferguson
Define the monomials and let be a linear functional. In this paper we describe a method which, under specified conditions, produces approximations for the value…
Subcritical Bifurcations in the Kuramoto Model with Positive Coupling
Timothy Ferguson
The Kuramoto model is a standard model for the dynamics of coupled oscillator networks. In particular, it is used to study long time behavior such as phase-locking where all oscill…
Bergman and Szego projections, Extremal Problems, and Square Functions
Timothy Ferguson
We study estimates for Hardy space norms of analytic projections. We first find a sufficient condition for the Bergman projection of a function in the unit disc to belong to the Ha…
Good Lambda Inequalities and Variable Orlicz Hardy Spaces
Timothy Ferguson
We prove a general theorem showing that local good- inequalities imply bounds in certain variable Orlicz spaces. We use this to prove results about variable Orlicz Hardy spaces…
Equivalence among various variable exponent Hardy or Bergman spaces
Timothy Ferguson
We study the question of when two weighted variable exponent Bergman spaces or Hardy spaces are equivalent. As an application, we show that variable exponent Hardy spaces have a cl…