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Start Over Author "Yong-Xin Gao" Publisher finnish mathematical society
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1. SPECTRA OF SOME INVERTIBLE WEIGHTED COMPOSITION OPERATORS ON HARDY AND WEIGHTED BERGMAN SPACES IN THE UNIT BALL.

Author

Yong-Xin Gao and Ze-Hua Zhou

Subjects
*COMPOSITION operators, *HARDY spaces, *AUTOMORPHISMS, *BERGMAN spaces, *UNIT ball (Mathematics)
Abstract

In this paper, we investigate the spectra of invertible weighted composition operators with automorphism symbols, on Hardy space H²(BN) and weighted Bergman spaces Aa²(BN), where BN is the unit ball of the N-dimensional complex space. By taking N = 1, BN = D the unit disc, we also complete the discussion about the spectrum of a weighted composition operator when it is invertible on H²(D) or A²(D). [ABSTRACT FROM AUTHOR]

Published
2016
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