Extrapolation Theory with Applications

Björn Jawerth · Mario Milman

Jan 1991 · American Mathematical Society: Memoirs of the American Mathematical Society Buch 440 · American Mathematical Soc.

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In the last few decades, interpolation theory has become an established field with many interesting applications to classical and modern analysis. In this book, the authors develop a general theory of extrapolation spaces, which is a complement to the familiar theory of interpolation spaces. Their results allow an extension of the classical extrapolation theorem of Yano to scales of Banach spaces. They give applications to classical and modern analysis, including extreme forms of Sobolev imbedding theorems, rearranging inequalities for classical operators, and Nash-Moser implicit function theorems.