About this ebook
We develop a general theory of extrapolation spaces, a complement to the familiar theory of interpolation spaces. Our results allow us to extend the classical extrapolation theorem of Yano to scales of Banach spaces. We give applications to classical and modern analysis including extreme forms of Sobolev imbedding theorems, rearrangement inequalities for classical operators, and Nash-Moser implicit function theorems.
We develop a general theory of extrapolation spaces, a complement to the familiar theory of interpolation spaces. Our results allow us to extend the classical extrapolation theorem of Yano to scales of Banach spaces. We give applications to classical and modern analysis including extreme forms of...
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