Approximation Numbers of Composition Operators on Weighted Hardy Spaces

Authors

Ajay K. Sharma ¹

Ambika Bhat ²

¹ School of Mathematics, Shri Mata Vaishno Devi University, Kakryal, Katra- 182320, J& K, India.

² Ambika Bhat, School of Mathematics, Shri Mata Vaishno Devi University, Kakryal, Katra-182320, J& K, India.

10.22034/kjm.2015.12288

Abstract

In this paper we find upper and lower bounds for approximation numbers of compact composition operators on the weighted Hardy spaces Hσ under some conditions on the weight function σ:

Keywords

Composition operator

weighted Hardy space

approximation number

Subjects

• 30 Functions of a complex variable
• 46 Functional analysis
• 47 Operator theory

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