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

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 previous studies.

Keywords

• gagliardo-nirenberg’s inequality
• fractional sobolev space
• besov space
• maximal function
• primary 46e35
• secondary 46b70