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Extrapolation theorem on \(L^p\) spaces over infinite measure space: An approach \(p\searrow p_0\). (English) Zbl 0892.46079

After S. Yano’s classical work, several extrapolation theorems on \(L^p\) spaces have been proved to approach to the “singular” spaces, \(L^1\) and \(L^\infty\). We sometimes find such “singularity” on \(L^{p_0}\), \(1<p_0<\infty\). In this paper, we prove some extrapolation theorems in the case \(p\searrow p_0\).

MSC:

46M35 Abstract interpolation of topological vector spaces
Full Text: EuDML