Gagliardo-Nirenberg type inequalities using fractional Sobolev spaces and Besov spaces

2022/12/10 by Dao, Nguyen Anh
#Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Primary 46E35 #Secondary 46B70

paper · doi:10.48550/arxiv.2212.05212

Abstract

Our main purpose is to establish Gagliardo-Nirenberg type inequalities using fractional homogeneous Sobolev spaces, and homogeneous Besov spaces. In particular, we extend some of the results obtained by the authors in [1, 2, 3, 7, 16, 21].

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