Hardy spaces of generalized analytic functions and composition
operators
Keyword(s):
Abstract We present some recent results on Hardy spaces of generalized analytic functions on D specifying their link with the analytic Hardy spaces. Their definition can be extended to more general domains Ω . We discuss the way to extend such definitions to more general domains that depends on the regularity of the boundary of the domain ∂Ω. The generalization over general domains leads to the study of the invertibility of composition operators between Hardy spaces of generalized analytic functions; at the end of the paper, we discuss invertibility and Fredholm property of the composition operator C∅ on Hardy spaces of generalized analytic functions on a simply connected Dini-smooth domain for an analytic symbol ∅.
2012 ◽
Vol 15
(1)
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2012 ◽
Vol 153
(3)
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pp. 489-503
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2008 ◽
Vol 6
(1)
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pp. 88-104
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2009 ◽
Vol 139
(1)
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pp. 107-121
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1999 ◽
Vol 66
(1)
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pp. 56-65
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2019 ◽
Vol 99
(03)
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pp. 473-484