Extension of smooth functions from finitely connected planar domains
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Publication:1589349
DOI10.1007/BF02921985zbMath0962.46017MaRDI QIDQ1589349
Publication date: 11 December 2000
Published in: The Journal of Geometric Analysis (Search for Journal in Brave)
Related Items
Locally \(C^{1,1}\) convex extensions of \(1\)-jets ⋮ Finiteness principles for smooth selection ⋮ The \(C^m\) norm of a function with prescribed jets. I. ⋮ \(C^2\) interpolation with range restriction ⋮ Dimension estimate for the two-sided points of planar Sobolev extension domains ⋮ Continuously differentiable functions on compact sets ⋮ The Whitney extension problem and Lipschitz selections of set-valued mappings in jet-spaces ⋮ \(C^1\) extensions of functions and stabilization of Glaeser refinements ⋮ Whitney's problem on extendability of functions and an intrinsic metric ⋮ An example related to Whitney extension with almost minimal \(C^m\) norm ⋮ An MRA approach to surface completion and image inpainting ⋮ Whitney’s extension problems and interpolation of data ⋮ \(C^{1, \omega }\) extension formulas for $1$-jets on Hilbert spaces ⋮ Efficient algorithms for approximate smooth selection ⋮ Extension of \(C^{m, \omega}\)-smooth functions by linear operators ⋮ Fitting a \(C^m\)-smooth function to data. II ⋮ The \(C^m\) norm of a function with prescribed jets. II ⋮ Whitney's extension problem in o-minimal structures
Cites Work
- Criteria for extension of functions of the class \(L^1_2\) from unbounded plane domains
- Quasiconformal mappings and extendability of functions in Sobolev spaces
- ON GEOMETRIC PROPERTIES OF FUNCTIONS WITH GENERALIZED FIRST DERIVATIVES
- Analytic Extensions of Differentiable Functions Defined in Closed Sets
- Whitney's problem on extendability of functions and an intrinsic metric
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