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Compact And Hilbert–Schmidt Weighted Composition Operators On Weighted Bergman Spaces

Let u and φ be two analytic functions on the unit disk D such that φ(D)⊂D . A weighted composition operator uCφ induced by u and φ is defined on A2α , the weighted Bergman space of D, by uCφf:=u⋅f∘φ for every f∈A2α . We obtain sufficient conditions for the compactness of uCφ in terms of function-theoretic properties of u and φ . We also characterize when uCφ on A2α is Hilbert–Schmidt. In particular, the characterization is independent of α when φ is an automorphism of D. Furthermore, we investigate the Hilbert–Schmidt difference of two weighted composition operators on A2α .

Ketersediaan

Informasi Detail

Judul Seri

JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY; Vol.113 Issue 2 October 2022

No. Panggil

-

Penerbit

: .,

Deskripsi Fisik

p. 208-225

Bahasa

English

ISBN/ISSN

-

Klasifikasi

NONE

Tipe Isi

-

Tipe Media

-

Tipe Pembawa

-

Edisi

-

Subjek

WEIGHTED COMPOSITION OPERATORS
WEIGHTED BERGMAN SPACES
COMPACT OPERATORS
HILBERT–SCHMIDT OPERATORS

Info Detail Spesifik

https://doi.org/10.1017/S1446788722000039

Pernyataan Tanggungjawab

Ching-On Lo, Anthony Wai-Keung Loh

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