Conditions for restricted translation operators to belong to $S_{p}$
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- by Harry Dym and Isidor Shapiro PDF
- Proc. Amer. Math. Soc. 63 (1977), 251-258 Request permission
Abstract:
Let B be a Blaschke product, let P be the orthogonal projection of ${L^2}({R^1})$ onto the left invariant subspace ${H^2} \ominus B{H^2}$ and let ${E_t}:f(\gamma ) \to {e^{ - i\gamma t}}f(\gamma )$. Conditions are given on the roots of B for $P{E_t}P$ to belong to ${S_p}, 0 < p < \infty$.References
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Additional Information
- © Copyright 1977 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 63 (1977), 251-258
- MSC: Primary 47B37; Secondary 30A78
- DOI: https://doi.org/10.1090/S0002-9939-1977-0448143-8
- MathSciNet review: 0448143