Toeplitz type operators on the derivative Hardy space S2(D)

A Toeplitz type operator Tφ with co-analytic symbol φ which canbe seen as the adjoint of the multiplication operator on S2(D)is introducedand studied on the derivative Hardy space S2(D). The characterizations for the operator Tφ to be normal, self-adjoint and isometric on S2(D)have been obtained. In...

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Bibliographic Details
Main Authors: Gupta Anuradha
Singh Shivam Kumar
Format: Article
Published: 2019
Series:Acta scientiarum mathematicarum 85 No. 3-4
Kulcsszavak:Toeplitz operátor - többszörös operátorok, derivatív Hardy tér
doi:10.14232/actasm-018-805-0

Online Access:http://acta.bibl.u-szeged.hu/66327
Description
Summary:A Toeplitz type operator Tφ with co-analytic symbol φ which canbe seen as the adjoint of the multiplication operator on S2(D)is introducedand studied on the derivative Hardy space S2(D). The characterizations for the operator Tφ to be normal, self-adjoint and isometric on S2(D)have been obtained. In addition, it has been shown that the operator T ̄zk for a fixednon-negative integer k is a Fredholm operator and its point spectrum is the closed unit disk.
Physical Description:473-493
ISSN:2064-8316