Gagliardo–Nirenberg and Sobolev interpolation inequalities on Besov spaces

Dao, Nguyen; Lam, Nguyen; Lu, Guozhen

doi:10.1090/proc/15567

Gagliardo–Nirenberg and Sobolev interpolation inequalities on Besov spaces
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by Nguyen Anh Dao, Nguyen Lam and Guozhen Lu PDF

Proc. Amer. Math. Soc. 150 (2022), 605-616 Request permission

Abstract:

We establish the Gagliardo–Nirenberg and Sobolev interpolation inequalities on Besov spaces. In particular, we improve the recent results of Miyazaki where he proved the inequalities on BMO spaces (see Yoichi Miyazaki [Proc. Amer. Math. Soc. 148 (2020), pp. 4257–4261]).

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