BMO and Lipschitz approximation by solutions of elliptic equations
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Publication:1816885
DOI10.5802/aif.1540zbMath0853.31007OpenAlexW2033226600MaRDI QIDQ1816885
Joan Orobitg, Joan Verdera, Joan Mateu, Yuri Netrusov
Publication date: 28 November 1996
Published in: Annales de l'Institut Fourier (Search for Journal in Brave)
Full work available at URL: http://www.numdam.org/item?id=AIF_1996__46_4_1057_0
Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Approximation by other special function classes (41A30) Potentials and capacities on other spaces (31C15) Spectral synthesis on groups, semigroups, etc. (43A45)
Related Items
Criteria for the individual $C^m$-approximability of functions on compact subsets of $ {\mathbb R}^N$ by solutions of second-order homogeneous elliptic equations, Approximation by polyanalytic functions in Hölder spaces, Estimates for the maximal singular integral in terms of the singular integral: the case of even kernels, A criterion for uniform approximability of individual functions by solutions of second-order homogeneous elliptic equations with constant complex coefficients, Uniform approximation by harmonic functions on compact subsets of \(\mathbb{R}^3\), Bianalytic capacities and Calderon commutators, \(C^m\) approximation of functions by solutions of second-order elliptic systems on compact sets in the plane, A criterion for approximability by harmonic functions in Lipschitz spaces, BMO Functions on Compact Sets
Cites Work
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- Two approximation problems in function spaces
- Imbedding theorems in Lizorkin-Triebel spaces
- Sets of singularities of functions in spaces of Besov and Lizorkin- Triebel type
- Approximation in the Mean by Solutions of Elliptic Equations
- BMO Rational Approximation and One-Dimensional Hausdorff Content
- Hausdorff Content and Rational Approximation in Fractional Lipschitz Norms
- Degenerate Cases of Uniform Approximation by Solutions of Systems with Surjective Symbols
- Approximation on compact sets by solutions of systems with surjective symbol
- A Counterexample in Lp Approximation by Harmonic Functions
- Uniform Approximation by Solutions of Elliptic Equations
- Mean Oscillation Over Cubes and Holder Continuity
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