John E. McCarthy

activity

19962026

most citedThe Smirnov class for spaces with the complete Pick property

38 citations · 253 across the 49 of their papers we have counts for

collaborators

Showing 2013Show all

3 papers · 1 filter

math.OA2013

Pick Interpolation for free holomorphic functions

Jim Agler, John E. McCarthy

We prove an interpolation theorem for bounded free holomorphic functions.

math.OA2013

Global holomorphic functions in several non-commuting variables

Jim Agler, John E. McCarthy

We define a free holomorphic function to be a function that is locally a bounded nc-function. We prove that free holomorphic functions are the functions that are locally uniformly…

math.CA2013

Unions of Lebesgue spaces and $A_{1}$ majorants

Greg Knese, John E. McCarthy, Kabe Moen

We study two questions. When does a function belong to the union of Lebesgue spaces and when does a function have an $A_{1}$ majorant? We show these questions are fundamentally relat…

Pick Interpolation for free holomorphic functions

Global holomorphic functions in several non-commuting variables

Unions of Lebesgue spaces and A1​ majorants

Unions of Lebesgue spaces and $A_{1}$ majorants