𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Schechter Methods of Interpolation and Commutators

✍ Scribed by M. J. Carro; J. Cerdà; M. Milman; J. Soria; M. J. Carro; J. Cerdà; J. Soria; M. Milman

Book ID
102940259
Publisher
John Wiley and Sons
Year
1995
Tongue
English
Weight
674 KB
Volume
174
Category
Article
ISSN
0025-584X

No coin nor oath required. For personal study only.

✦ Synopsis

We study the relationship between Schechter's methods of complex interpolation and the so called commutator estimates. We obtain new commutator theorems and prove characterizations of the Domain and Range spaces associated with the corresponding quasilogarithmic operator. Our methods also provide a new approach to known results, including the higher order commutator theorems for the complex method recently obtained by R. ROCHBERG.

📜 SIMILAR VOLUMES

Commutators and interpolation methods
Commutators and interpolation methods
✍ María J. Carro; Joan Cerdà; Javier Soria 📂 Article 📅 1995 🏛 Springer Netherlands 🌐 English ⚖ 642 KB
A multiplier theorem using the Schechter
A multiplier theorem using the Schechter's method of interpolation
✍ Marı́a J. Carro 📂 Article 📅 2003 🏛 Elsevier Science 🌐 English ⚖ 173 KB

Let m be a measurable bounded function and let us assume that there exists a bounded functions S so that mðxÞSðxÞ itÀ1 is a Fourier multiplier on L p uniformly in tAR: Then, using the analytic interpolation theorem of Stein, one can show that necessarily m is a L p multiplier. The purpose of this wo

A note on commutator estimates for inter
A note on commutator estimates for interpolation methods
✍ Joan Cerdà 📂 Article 📅 2007 🏛 John Wiley and Sons 🌐 English ⚖ 140 KB 👁 1 views

## 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 a

A Unified Theory of Commutator Estimates
A Unified Theory of Commutator Estimates for a Class of Interpolation Methods
✍ Michael Cwikel; Nigel Kalton; Mario Milman; Richard Rochberg 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 587 KB

A general family of interpolation methods is introduced which includes, as special cases, the real and complex methods and also the so-called AE or G 1 and G 2 methods defined by Peetre and Gustavsson-Peetre. Derivation operators O and translation operators R are introduced for all methods of this f