00000cmm a22000004a 4500 UP-99796217611212606 Buklod 20241011103737.0 m go j cr |n |||auu|a 241011s2011 sz o j a eng d 9783034800723 (eBook) (iLib)UPD-00215704419 DLC eng DMLR rda eng DMLUC QA 281 C78 2011eb Cruz-Uribe, David V. author. Weights, extrapolation and the theory of Rubio de Francia [electronic resource] David V. Cruz-Uribe, José Maria Martell, Carlos Pérez. Basel, Switzerland Birkhäuser 2011. 1 online resource text rdacontent computer rdamedia online resource rdacarrier Operator theory: advances and applications Volume 21 IP-based subscription, access limited to within on campus computer network. Access via Electronic Resources of the UPD University Library Websit This book provides a systematic development of the Rubio de Francia theory of extrapolation, its many generalizations and its applications to one and two-weight norm inequalities. The book is based upon a new and elementary proof of the classical extrapolation theorem that fully develops the power of the Rubio de Francia iteration algorithm. This technique allows us to give a unified presentation of the theory and to give important generalizations to Banach function spaces and to two-weight inequalities. We provide many applications to the classical operators of harmonic analysis to illustrate our approach, giving new and simpler proofs of known results and proving new theorems. The book is intended for advanced graduate students and researchers in the area of weighted norm inequalities, as well as for mathematicians who want to apply extrapolation to other areas such as partial differential equation Extrapolation. Inequalities (Mathematics) Mathematical analysis. Martell, José Maria author. Pérez, Carlos author. Available for UP System via Springer Link. http://link.springer.com/book/10.1007/978-3-0348-0072-3 FO UPD DMLR QA 281 C78 2011eb Electronic Resource