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The constant of
interpolation
Artur Nicolau, Joaquim Ortega-Cerdà and Kristian Seip |
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Vol. 213 (2004), No. 2, 389–398
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Abstract |
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We prove that a suitably adjusted version of Peter Jones’ formula for interpolation in H∞ gives a sharp upper bound for what is known as the constant of interpolation. We show how this leads to precise and computable numerical bounds for this constant. |
Milestones
Received: 27 January 2003
Published: 1 February 2004
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Authors |
| Artur Nicolau | |
| Dept. Matemàtiques Universitat Autònoma de Barcelona 08193 Bellaterra Spain |
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| Joaquim Ortega-Cerdà | |
| Dept. Matemàtica Aplicada i
Anàlisi Universitat de Barcelona Gran Via 585 08071 Barcelona Spain |
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| Kristian Seip | |
| Dept. of Mathematical Sciences Norwegian University of Science and Technology N–7491 Trondheim Norway |
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