English

Differential-free characterisation of smooth mappings with controlled growth

Complex Variables 2017-10-03 v4

Abstract

In this paper we give some generalizations and improvements of the Pavlovi\'c result on the Holland-Walsh type characterization of the Bloch space of continuously differentiable (smooth) functions in the unit ball in Rm\mathbf{R}^m.

Keywords

Cite

@article{arxiv.1610.07088,
  title  = {Differential-free characterisation of smooth mappings with controlled growth},
  author = {Marijan Markovic},
  journal= {arXiv preprint arXiv:1610.07088},
  year   = {2017}
}

Comments

to appear in Canadian Mathematical Bulletin