On Sharp Estimates of Coefficients for Polynomials in Norm-Attainable Classes

Okelo, Benard; Odhiambo, Francis; Oburu, Jeffar

doi:10.28919/cpr-pajm/1-1

Research article

On Sharp Estimates of Coefficients for Polynomials in Norm-Attainable Classes

Benard Okelo, Francis Odhiambo, Jeffar Oburu

Abstract

New sharp estimates for coefficients of pseudo-monoidal type polynomials are given for the class of norm-attainable operators. Moreover, we show the existence of an equivalence relation in the case of the class of norm-attainable operators with the Bergman determinant for the class of composition operators.

How to cite

B. Okelo, F. Odhiambo, J. Oburu, On Sharp Estimates of Coefficients for Polynomials in Norm-Attainable Classes, Pan-Amer. J. Math. 1 (2022), 1. https://doi.org/10.28919/cpr-pajm/1-1

BibTeX

@article{Okelo2022,
  author  = {Okelo, Benard and Odhiambo, Francis and Oburu, Jeffar},
  title   = {On Sharp Estimates of Coefficients for Polynomials in Norm-Attainable Classes},
  journal = {Pan-Amer. J. Math.},
  volume  = {1},
  year    = {2022},
  pages   = {1},
  doi     = {10.28919/cpr-pajm/1-1}
}