A Bourgain–Brezis–Mironescu characterization of higher order Besov–Nikol^{\prime }skii spaces
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Publication:4610354
DOI10.5802/aif.3196zbMath1416.46033arXiv1610.05162OpenAlexW2962832001MaRDI QIDQ4610354
Publication date: 15 January 2019
Published in: Annales de l’institut Fourier (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1610.05162
nonlocal functionalsfractional spacesNikol'skii spaceslimiting embeddingsnon-compactnesshigher-order Besov spaces
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Cites Work
- Characterization of function spaces via low regularity mollifiers
- Approximation of functions from Nikolskii-Besov type classes of generalized mixed smoothness
- Persistence criteria for populations with non-local dispersion
- Characterization of polynomials and higher-order Sobolev spaces in terms of functionals involving difference quotients
- A new approach to Sobolev spaces and connections to \(\Gamma\)-convergence
- Limits of Besov norms
- Characterization of Sobolev and BV spaces
- Sobolev, Besov and Nikolskii fractional spaces: Imbeddings and comparisons for vector valued spaces on an interval
- Gaussian decompositions in function spaces
- On an open question about functions of bounded variation.
- An estimate in the spirit of Poincaré's inequality
- Limits of higher-order Besov spaces and sharp reiteration theorems
- On the Bourgain, Brezis, and Mironescu theorem concerning limiting embeddings of fractional Sobolev spaces
- Some function classes related to the class of convex functions
- How to Recognize Polynomials in Higher Order Sobolev Spaces
- Nonlocal Operators with Applications to Image Processing
- A method of approximation of Besov spaces
- ON THE DEFINITIONS OF SOBOLEV AND BV SPACES INTO SINGULAR SPACES AND THE TRACE PROBLEM
- Nonlocal Linear Image Regularization and Supervised Segmentation
- Can the Nonlocal Characterization of Sobolev Spaces by Bourgain et al. Be Useful for Solving Variational Problems?
- On limiting embeddings of Besov spaces
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