Extrapolation theorem on Lp spaces over infinite measure space: an approach p p0

• Autores: Takuya Sobukawa
• Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 48, Fasc. 4-6, 1997, págs. 773-784
• Idioma: inglés
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• Resumen

  • After S.Yano's classical work [10], 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 shall prove some extrapolation theorem in the case $p\searrow p_0$.