English

A characterization of Dirichlet-inner functions

Complex Variables 2018-04-03 v2 Classical Analysis and ODEs Functional Analysis

Abstract

We study a concept of inner function suited to Dirichlet-type spaces. We characterize Dirichlet-inner functions as those for which both the space and multiplier norms are equal to 1.

Keywords

Cite

@article{arxiv.1710.02710,
  title  = {A characterization of Dirichlet-inner functions},
  author = {Daniel Seco},
  journal= {arXiv preprint arXiv:1710.02710},
  year   = {2018}
}

Comments

7 pages, to appear con Complex Analysis and Operator Theory

R2 v1 2026-06-22T22:06:37.046Z