SCHECHTER METHODS OF INTERPOLATION AND COMMUTATORS

Citation
Mj. Carro et al., SCHECHTER METHODS OF INTERPOLATION AND COMMUTATORS, Mathematische Nachrichten, 174, 1995, pp. 35-53
Citations number
25
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
ISSN journal
0025584X
Volume
174
Year of publication
1995
Pages
35 - 53
Database
ISI
SICI code
0025-584X(1995)174:<35:SMOIAC>2.0.ZU;2-R
Abstract
We study the relationship between Schechter's methods of complex inter polation and the so called commutator estimates. We obtain new commuta tor theorems and prove characterizations of the Domain and Range space s associated with the corresponding quasilogarithmic operator. Our met hods also provide a new approach to known results, including the highe r order commutator theorems for the complex method recently obtained b y R. ROCHBERG.