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Schechter Methods of Interpolation and Commutators
Author(s) -
Carro M. J.,
Cerdà J.,
Milman M.,
Soria J.,
Carro M. J.,
Cerdà J.,
Soria J.,
Milman M.
Publication year - 1995
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.19951740104
Subject(s) - commutator , mathematics , interpolation (computer graphics) , operator (biology) , range (aeronautics) , pure mathematics , domain (mathematical analysis) , order (exchange) , algebra over a field , mathematical analysis , computer science , chemistry , lie conformal algebra , materials science , finance , repressor , economics , composite material , gene , animation , computer graphics (images) , biochemistry , transcription factor
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 .