76 citations · 360 across the 60 of their papers we have counts for
10 papers · 1 filter
Onto Interpolating Sequences for the Dirichlet Space
Nicola Arcozzi, Richard Rochberg, Eric Sawyer
We describe two new classes of onto interpolating sequences for the Dirichlet space, in particular resolving a question of Bishop. We also give a complete description of the analog…
The Krzyż conjecture revisited
María J. Martín, Eric T. Sawyer, Ignacio Uriarte-Tuero +1
The Krzyż conjecture concerns the largest values of the Taylor coefficients of a non-vanishing analytic function bounded by one in modulus in the unit disk. It has been open since…
Two Weight Inequalities for the Cauchy Transform from to
Michael T. Lacey, Eric T. Sawyer, Chun-Yen Shen +2
We characterize those pairs of weights on and on for which the Cauchy transform $\mathsf{C}_σ f (z) \equiv \int_{\mathbb{R}} \frac {f(x)} {x…
Distance Functions for Reproducing Kernel Hilbert Spaces
Nicola Arcozzi, Richard Rochberg, Eric T. Sawyer +1
Suppose H is a space of functions on X. If H is a Hilbert space with reproducing kernel then that structure of H can be used to build distance functions on X. We describe some of t…
The Dirichlet space: A Survey
Nicola Arcozzi, Richard Rochberg, Eric Sawyer +1
In this paper we survey many results on the Dirichlet space of analytic functions. Our focus is more on the classical Dirichlet space on the disc and not the potential generalizati…
Function Spaces Related to the Dirichlet Space
Nicola Arcozzi, Richard Rochberg, Eric Sawyer +1
We present results about spaces of holomorphic functions associated to the classical Dirichlet space. The spaces we consider have roles similar to the roles of and in…