TY  - JOUR
AU  - Del Teso Méndez, Félix
AU  - Gómez-Castro, D.
AU  - Vázquez, Juan Luis
PY  - 2020
DO  - 10.1016/j.na.2020.111995
SN  - 0362-546X
UR  - https://hdl.handle.net/20.500.14352/7245
T2  - Nonlinear Analysis: Theory, Methods & Applications
AB  - In this paper we study how the (normalised) Gagliardo semi-norms [u]Ws,p(Rn) control translations. In particular, we prove that ‖u(⋅+y)−u‖Lp(Rn)≤C[u]Ws,p(Rn)|y|s for n≥1, s∈[0,1] and p∈[1,+∞], where C depends only on n. We then obtain a corresponding...
LA  - eng
PB  - Elsevier
KW  - Functional analysis
KW  - Sobolev spaces
KW  - Linear function spaces
TI  - Estimates on translations and Taylor expansions in fractional Sobolev spaces
TY  - journal article
VL  - 200
ER  -