Criteria for extension of functions of the class \(L^1_2\) from unbounded plane domains
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Publication:1140739
DOI10.1007/BF00970040zbMath0436.30013OpenAlexW1986225424MaRDI QIDQ1140739
V. M. Gol'dshtejn, T. G. Latfullin, Sergei Vodop'yanov
Publication date: 1979
Published in: Siberian Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf00970040
Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Quasiconformal mappings in the complex plane (30C62) Functions of several variables (26B99)
Related Items (13)
Criteria for optimal global integrability of Hajłasz-Sobolev functions ⋮ Isothermic coordinates on irregular sewing surfaces ⋮ On planar Sobolev \(L_p^m\)-extension domains ⋮ Quasiperiodic sets at infinity and meromorphic extensions of their fractal zeta functions ⋮ Sobolev extensions via reflections ⋮ Quasiconformal mappings and extendability of functions in Sobolev spaces ⋮ Whitney's problem on extendability of functions and an intrinsic metric ⋮ On Sobolev extension domains in \(\mathbb R^n\) ⋮ Geometric Properties of Planar BV -Extension Domains ⋮ Uniform domains and capacity ⋮ Extension of smooth functions from finitely connected planar domains ⋮ Functions with a finite Dirichlet integral in a domain with cusp points on the boundary ⋮ The extension problem for certain function spaces involving fractional orders of differentiability
Cites Work
- On a method of extending differentiable functions
- On the order of closeness of a spatial quasiconformal mapping to conformal
- Quasi-conformal mappings in n-space and the rigidity of hyperbolic space forms
- Inequalities for formally positive integro-differential forms
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