Differentiation in Star-Invariant Subspa
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Konstantin M. Dyakonov
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Article
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2002
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Elsevier Science
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English
β 201 KB
Given an inner function y on the upper half-plane C ΓΎ , let K y :ΒΌ H 2 Γ yH 2 be the corresponding star-invariant subspace of the Hardy space H 2 . Earlier we showed that the differentiation operator d dx : K y ! L 2 Γ°RΓ is bounded iff y 0 2 L 1 Γ°RΓ and compact iff y 0 2 C 0 Γ°RΓ. The current problem