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An off-diagonal Marcinkiewicz interpolation theorem on Lorentz spaces

✍ Scribed by Yi Yu Liang; Li Guang Liu; Da Chun Yang

Publisher: Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
Year: 2011
Tongue: English
Weight: 250 KB
Volume: 27
Category: Article
ISSN: 1439-7617
DOI: 10.1007/s10114-011-0287-1

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✍ Andrea Cianchi 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 352 KB

An extension of the Marcinkiewicz interpolation theorem is proved, yielding a necessary and sufficient condition for every quasilinear operator, satisfying given endpoint estimates of weak type, to be bounded from an Orlicz space into another. 1998 Academic Press in the last three papers mentioned