Fractional Sobolev inequalities revisited: the maximal function approach

Authors: Nguyen Anh Dao, Jesus Ildefonso Díaz, Đào Nguyên Anh, Nguyen Quoc Hung (Shanghai),

http://www.mat.ucm.es/~jidiaz/Publicaciones/ARTICULOS_PDF/Fractional%20Sobolev%20inequalities%20revisited_definitive

Publisher, magazine: ,

Publication year: 2020

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Abstract

We revisit Sobolev-Gagliardo-Nirenberg type inequalities involving fractional norms. We prove general embedding Ws,p(Rd) results by using the Hardy-Littlewood maximal functions as technique instead of usual interpolation methods.

Tags: Fractional Sobolev spaces; Gagliardo-Nirenberg inequalities; Hardy-Littlewood maximal function.