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Extrapolation theory for the real interpolation method

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We develop an abstract extrapolation theory for the real interpolation method that covers and improves the most recent versions of the celebrated theorems of Yano and Zygmund. As a consequence of our method, we give new endpoint estimates of the embedding Sobolev theorem for an arbitrary domain Omega

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Articles publicats en revistes (Matemàtiques i Informàtica)

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Extrapolation theory for the real interpolation method