Vol. 213, No. 2, 2004

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Artur Nicolau & Joaquim Ortega-Cerdà & Kristian Seip

Abstract

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.

Authors
Artur Nicolau
Dept. Matemàtiques
Universitat Autònoma de Barcelona
08193 Bellaterra
Spain
Joaquim Ortega-Cerdà
Dept. Matemàtica Aplicada i Anàlisi
Universitat de Barcelona
Gran Via 585
08071 Barcelona
Spain
Kristian Seip
Dept. of Mathematical Sciences
Norwegian University of Science and Technology
N–7491 Trondheim
Norway