Open Access
September 2007 Composition operators acting on $\mathcal{N}_p$-spaces
Niklas Palmberg
Bull. Belg. Math. Soc. Simon Stevin 14(3): 545-554 (September 2007). DOI: 10.36045/bbms/1190994217

Abstract

We introduce a new class of functions, called the $\mathcal{N}_p$-spaces and study the boundedness and compactness of composition operators on $\mathcal{N}_p$-spaces as well as between $\mathcal{N}_p$-spaces and Bergman-type spaces. The paper is intended to give a self-contained introduction the the $\mathcal{N}_p$-spaces.

Citation

Download Citation

Niklas Palmberg. "Composition operators acting on $\mathcal{N}_p$-spaces." Bull. Belg. Math. Soc. Simon Stevin 14 (3) 545 - 554, September 2007. https://doi.org/10.36045/bbms/1190994217

Information

Published: September 2007
First available in Project Euclid: 28 September 2007

zbMATH: 1139.47022
MathSciNet: MR2387053
Digital Object Identifier: 10.36045/bbms/1190994217

Subjects:
Primary: ‎46E15 , 47B33
Secondary: 30B10

Keywords: $\mathcal{N}_p$-spaces , $\mathcal{Q}_p$-spaces , Bergman-type spaces , Composition operator , Hadamard gap series , Nevanlinna counting function

Rights: Copyright © 2007 The Belgian Mathematical Society

Vol.14 • No. 3 • September 2007
Back to Top