Going to Lorentz when fractional Sobolev, Gagliardo and Nirenberg estimates fail
نویسندگان
چکیده
In the cases where there is no Sobolev-type or Gagliardo-Nirenberg-type fractional estimate involving $\lvert u\rvert_{W^{s,p}}$, we establish alternative estimates strong $L^p$ norms are replaced by Lorentz norms.
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ژورنال
عنوان ژورنال: Calculus of Variations and Partial Differential Equations
سال: 2021
ISSN: ['0944-2669', '1432-0835']
DOI: https://doi.org/10.1007/s00526-021-02001-w