Composition operators on Hardy-Sobolev spaces

Li He (), Guang Fu Cao () and Zhong Hua He ()
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Li He: Guangzhou University
Guang Fu Cao: Guangzhou University
Zhong Hua He: Guangdong University of Finance Department of Applied Mathematics

Indian Journal of Pure and Applied Mathematics, 2015, vol. 46, issue 3, 255-267

Abstract: Abstract In this paper, we obtain some growth estimates for Hardy-Sobolev functions of the unit ball. We also give the representation of the spectra of composition operators C φ on $$H_\beta ^2 (\mathbb{B}_n )$$ and describe the Fredholmness of C φ equivalently.

Keywords: Hardy-Sobolev space; composition operator; spectrum; Fredholm operator (search for similar items in EconPapers)
Date: 2015
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DOI: 10.1007/s13226-015-0115-x

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