Characterization of polynomials and higher-order Sobolev spaces in terms of functionals involving difference quotients

DOI10.1016/j.na.2014.09.007zbMath1332.46043OpenAlexW2005195232MaRDI QIDQ468630

Rita Ferreira, Ana Margarida Ribeiro, Carolin Kreisbeck

Publication date: 7 November 2014

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2014.09.007

zbMATH Keywords

higher-order Sobolev spacessingular functionals

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35)

Related Items (4)

Characterization of generalized Orlicz spaces ⋮ A Bourgain–Brezis–Mironescu characterization of higher order Besov–Nikol^{\prime }skii spaces ⋮ Loss of Double-Integral Character During Relaxation ⋮ On formulae decoupling the total variation of BV~functions

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