Estimates on translations and Taylor expansions in fractional Sobolev spaces
In this paper we study how the (normalised) Gagliardo semi-norms [u]<sub>Ws,p(Rn)</sub> control translations. In particular, we prove that ||u(·+y)−u ||<sub>Lp(Rn)</sub> ≤ C[u]<sub>Ws,p(Rn)</sub> |y| <sup>s</sup> for n ≥ 1, s ∈ [0, 1] and p ∈ [1, +∞],...
| Հիմնական հեղինակներ: | , , |
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| Ձևաչափ: | Journal article |
| Լեզու: | English |
| Հրապարակվել է: |
Elsevier
2020
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