𝔖 Bobbio Scriptorium
✦   LIBER   ✦

A note on commutator estimates for interpolation methods

✍ Scribed by Joan Cerdà

Publisher
John Wiley and Sons
Year
2007
Tongue
English
Weight
140 KB
Volume
280
Category
Article
ISSN
0025-584X

No coin nor oath required. For personal study only.

✦ Synopsis

Abstract

The aim of this note is to show how all the commutator estimates of two recent papers, by M. Cwikel, N. Kalton, M. Milman, and R. Rochberg and by N. Krugljak and M. Milman, can be considered as special cases of the method of couples of interpolators introduced by M. J. Carro, J. Cerdà and J. Soria, and also to show how the distance between orbits and the “Benson norm” considered by Krugljak and Milman can be extended, respectively, as a distance between the interpolators that appear in the general construction and as a constant that is finite when the interpolators satisfy the necessary cancellation property. (© 2007 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

📜 SIMILAR VOLUMES

A note on commutators of Hardy operators
A note on commutators of Hardy operators
✍ Fayou Zhao 📂 Article 📅 2012 🏛 John Wiley and Sons 🌐 English ⚖ 126 KB 👁 1 views

## Abstract Fu and Lu et al. 7 showed that the commutator \documentclass{article}\usepackage{amssymb}\begin{document}\pagestyle{empty}$\mathcal {H}\_{\beta ,b}$\end{document} generated by the fractional Hardy operator and a locally integrable function __b__ is bounded on the homogenous Herz spaces

A comparative study on interpolation met
A comparative study on interpolation methods for controlled cardiac CT
✍ Deepak Bharkhada; Hengyong Yu; Kai Zeng; Er-Wei Bai; Ge Wang 📂 Article 📅 2007 🏛 John Wiley and Sons 🌐 English ⚖ 324 KB 👁 1 views

## Abstract Bai et al. recently proposed to acquire random fan‐beam/cone‐beam projections with a linear/planar detector from a circular scanning locus for controlled cardiac computed tomography (CT). After specifying a uniform acquisition geometry required by FBP (filtration‐backprojection), we reb

A note on constructive methods for ramse
A note on constructive methods for ramsey numbers
✍ F. R. K. Chung 📂 Article 📅 1981 🏛 John Wiley and Sons 🌐 English ⚖ 227 KB 👁 1 views

## Abstract Let __r(k__) denote the least integer __n__‐such that for any graph __G__ on __n__ vertices either __G__ or its complement G contains a complete graph __K__~k~ on __k__ vertices. in this paper, we prove the following lower bound for the Ramsey number __r(k__) by explicit construction: _

A Note on Quantile Estimation for Curtai
A Note on Quantile Estimation for Curtailed Experiments
✍ A. C. Trajstman 📂 Article 📅 1993 🏛 John Wiley and Sons 🌐 English ⚖ 352 KB 👁 2 views

## Abstract There may be experiments where due to misadventure or logistic or ethical reasons final measurements on all experimental units cannot be obtained. If at least 50% of the final measurements have been taken estimates of the lower quantiles and the median can be obtained. For such curtaile