Found 38 Documents (Results 1–38)
BMO-type functionals related to the total variation and connection to denoising models. (English) Zbl 1539.49037
Reviewer: Costică Moroşanu (Iaşi)
Bourgain-Brezis-Mironescu formula for \(W^{s, p}_q\)-spaces in arbitrary domains. (English) Zbl 1542.46029
A distributional approach to fractional Sobolev spaces and fractional variation: asymptotics. I. (English) Zbl 1532.46027
New Brezis-van Schaftingen-Yung-Sobolev type inequalities connected with maximal inequalities and one parameter families of operators. (English) Zbl 1523.46025
Reviewer: Wen Yuan (Beijing)
Gagliardo-Nirenberg and Caffarelli-Kohn-Nirenberg interpolation inequalities associated with Coulomb-Sobolev spaces. (English) Zbl 1496.26022
A distributional approach to fractional Sobolev spaces and fractional variation: asymptotics. II. (English) Zbl 1501.46031
\(\Gamma\)-convergence of non-local, non-convex functionals in one dimension. (English) Zbl 1447.49022
Reviewer: Stepan Agop Tersian (Rousse)
Some characterizations of magnetic Sobolev spaces. (English) Zbl 1454.46034
Reviewer: Denise Huet (Nancy)
On the gap between the gamma-limit and the pointwise limit for a nonlocal approximation of the total variation. (English) Zbl 1444.49008
Optimal constants for a nonlocal approximation of Sobolev norms and total variation. (English) Zbl 1435.26008
On anisotropic Sobolev spaces. (English) Zbl 1418.46017
Non-local functionals related to the total variation and connections with image processing. (English) Zbl 1398.49042
Reviewer: Sorin-Mihai Grad (Vienna)
On the shape factor of interaction laws for a non-local approximation of the Sobolev norm and the total variation. (Sur le facteur de forme des lois d’interaction pour une approximation non locale de la norme de Sobolev et de la variation totale.) (English. French summary) Zbl 1400.28007
Reviewer: Krishnan Balachandran (Coimbatore)
New characterizations of magnetic Sobolev spaces. (English) Zbl 1429.49007
Reviewer: Gisèle M. Mophou (Pointe-à-Pitre)
A refined estimate for the topological degree. (Une estimée raffinée du degré topologique.) (English. French summary) Zbl 1422.55004
Logarithmic Sobolev inequality revisited. (L’inégalité de Sobolev logarithmique revisitée.) (English. French summary) Zbl 1373.46027
Non-convex, non-local functionals converging to the total variation. (Convergence de fonctionnelles non convexes et non locales vers la variation totale.) (English. French summary) Zbl 1356.49013
Singular perturbation problems involving curvature. (English) Zbl 1326.49072
Chen, Gui-Qiang G. (ed.) et al., Differential geometry and continuum mechanics. Proceedings of the ICMS workshop, Edinburgh, UK, June 17–21, 2013. Cham: Springer (ISBN 978-3-319-18572-9/hbk; 978-3-319-18573-6/ebook). Springer Proceedings in Mathematics & Statistics 137, 49-75 (2015).
Characterizations of second order Sobolev spaces. (English) Zbl 1339.46030
MSC:
46E35
New characterizations of Sobolev spaces on the Heisenberg group. (English) Zbl 1316.46033
MSC:
46E35
Characterizations of Sobolev spaces in Euclidean spaces and Heisenberg groups. (English) Zbl 1299.46032
MSC:
46E35
Some inequalities related to Sobolev norms. (English) Zbl 1226.46030
Reviewer: Stefan G. Samko (Faro)
\(\Gamma\)-convergence, Sobolev norms, and BV functions. (English) Zbl 1221.28011
Reviewer: Tomasz Natkaniec (Gdańsk)
On the definitions of Sobolev and \(BV\) spaces into singular spaces and the trace problem. (English) Zbl 1221.46031
Reviewer: Messoud A. Efendiev (Berlin)
MSC:
46E35
Some new characterizations of Sobolev spaces. (English) Zbl 1109.46040
Reviewer: Leszek Skrzypczak (Poznań)
MSC:
46E35
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