Gagliardo-Nirenberg-Sobolev Inequality: An Induction Proof

AbstractThis paper presents an induction proof of the G-N-S inequality when p = 1, which the author believes is much simpler and more transparent than other proofs found in the literature.MSC: 46E35 ACKNOWLEDGEMENTThe author would like to thank the referees for their invaluable comments and suggestions on the previous version of this paper.Additional informationNotes on contributorsShibo LiuSHIBO LIU received his Ph.D. in mathematics from the Chinese Academy of Sciences. He served as professor of mathematics at Xiamen University before joining the faculty at Florida Institute of Technology.