JournalsrlmVol. 31, No. 1pp. 225–236

Fractional Sobolev inequalities revisited: the maximal function approach

  • Nguyen Anh Dao

    University of Economics, Ho Chi Minh City, Vietnam

  • Jesús Ildefonso Díaz

    Universidad Complutense de Madrid, Spain

  • Quoc-Hung Nguyen

    Scuola Normale Superiore, Pisa, Italy
Fractional Sobolev inequalities revisited: the maximal function approach cover

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Abstract

We revisit Sobolev–Gagliardo–Nirenberg type inequalities involving fractional norms. We prove general embedding results by using the Hardy–Littlewood maximal functions as technique instead of usual interpolation methods.

Cite this article

Nguyen Anh Dao, Jesús Ildefonso Díaz, Quoc-Hung Nguyen, Fractional Sobolev inequalities revisited: the maximal function approach. Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. 31 (2020), no. 1, pp. 225–236

DOI 10.4171/RLM/887