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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 equations.
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 equations.
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