Files

506580.pdf (208.97 KB)

Document type

Article

Version

Published version

Publication date

2004

All rights reserved

Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/164734

The constant of interpolation

Journal Title

Authors

Director/Tutor

Journal ISSN

Volume Title

Related resource

https://doi.org/10.2140/pjm.2004.213.389

Abstract

We prove that a suitably adjusted version of Peter Jones' formula for interpolation in $H^\infty$ 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.

Subject

Funcions de variables complexes, Interpolació (Matemàtica), Anàlisi funcional, Àlgebres de Banach

Subject (English)

Functions of complex variables, Interpolation, Functional analysis, Banach algebras

Citation

Collections

Articles publicats en revistes (Matemàtiques i Informàtica)

Citation

NICOLAU, Artur, ORTEGA CERDÀ, Joaquim and SEIP, Kristian. The constant of interpolation. Pacific Journal of Mathematics. 2004. Vol. 213, num. 2, pags. 389-398. ISSN 0030-8730. [consulted: 14 of June of 2026]. Available at: https://hdl.handle.net/2445/164734

Export metadata

JSON - METS

Share record