Characterization of Sets K for which H∞ K (D) is an Algebra - Part II

Authors

  • Debendra P Banjade Department of Mathematics and Statistics, Coastal Carolina University, Conway, SC, 29528, United States
  • Jeremiah Dunivin School of Mathematical and Statistical Sciences, Clemson University, Clemson, SC, 29634, United States

DOI:

https://doi.org/10.3126/jnms.v6i1.57414

Keywords:

Bounded analytic functions, Subalgebras, Sets

Abstract

Let KZ+ and define the set HK (D) to be the collection of all bounded analytic functions on the unit disk D in the complex plane whose kth derivative vanishes at zero for all kK. Depending on the choice of K, the set HK (D) may or may not be an algebra. We consider the case where K is infinite and show how to construct these sets.

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Published

2023-08-22

How to Cite

Banjade, D. P., & Dunivin, J. (2023). Characterization of Sets K for which H∞ K (D) is an Algebra - Part II. Journal of Nepal Mathematical Society, 6(1), 16–25. https://doi.org/10.3126/jnms.v6i1.57414

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Articles