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Use of abstract Hardy spaces, real interpolation and applications to bilinear operators

✍ Scribed by Frédéric Bernicot


Publisher
Springer-Verlag
Year
2009
Tongue
French
Weight
506 KB
Volume
265
Category
Article
ISSN
0025-5874

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Interpolation inequality of logarithmic
✍ Toshitaka Matsumoto; Takayoshi Ogawa 📂 Article 📅 2010 🏛 John Wiley and Sons 🌐 English ⚖ 193 KB

## Abstract An abstract version of Besov spaces is introduced by using the resolvent of nonnegative operators. Interpolation inequalities with respect to abstract Besov spaces and generalized Lorentz spaces are obtained. These inequalities provide a generalization of Sobolev inequalities of logarit