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.
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Corresponding author supported by National Natural Science Foundation of China (No. 11271092) and Doctoral Fund of Ministry of Education of Guangdong Province (No. 20114410110001).
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He, L., Cao, G.F. & He, Z.H. Composition operators on Hardy-Sobolev spaces. Indian J Pure Appl Math 46, 255–267 (2015). https://doi.org/10.1007/s13226-015-0115-x
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DOI: https://doi.org/10.1007/s13226-015-0115-x