Abstract
Suppose ⋋ is a regular, Borel measure on R and suppose that \( \lambda ( - \infty ,x) < \infty {\text{ for all }}x \in {\text{R}} \). The Lebesgue spaces, \( L_\lambda ^p,{\text{ for 1 }} \leqslant p \leqslant \infty \) will then contain non-trivial, non-increasing functions. Define
where p′ is defined by 1/p + 1/p′=1.
This paper is in final form and no version of it has been or will been or will be submitted elsewhere. Revised June 5, 1991.
Research supported by a grant from the Natural Sciences and Engineering Research Council of Canada.
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© 1991 Springer-Verlag Tokyo
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Sinnamon, G. (1991). Interpolation of Spaces Defined by the Level Function. In: Igari, S. (eds) ICM-90 Satellite Conference Proceedings. Springer, Tokyo. https://doi.org/10.1007/978-4-431-68168-7_17
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DOI: https://doi.org/10.1007/978-4-431-68168-7_17
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