International Journal of Mathematics and Mathematical Sciences (Jan 1987)

A new class of composition operators

  • S. Pattanayak,
  • C. K. Mohapatra,
  • A. K. Mishra

DOI
https://doi.org/10.1155/S0161171287000553
Journal volume & issue
Vol. 10, no. 3
pp. 473 – 482

Abstract

Read online

A new class of composition operators Pϕ:H2(T)→H2(T), with ϕ:T→D¯ is introduced. Sufficient conditions on ϕ for Pϕ to be bounded and Hilbert-Schmidt are obtained. Properties of Pϕ with ϕ(eit)=aeit+be−it for different values of the parameters a and b have been investigated. This paper concludes with a discussion on the compactness of Pϕ.

Keywords