Traces of monotone functions in weighted Sobolev spaces

zbMath0988.30015MaRDI QIDQ5954288

Enrique Villamor, Juan J. Manfredi

Publication date: 14 February 2002

Published in: Illinois Journal of Mathematics (Search for Journal in Brave)

Mathematics Subject Classification ID

Quasiconformal mappings in (mathbb{R}^n), other generalizations (30C65) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35)

Related Items (17)

On the continuity of weakly monotone functions ⋮ Growth properties near the origin for generalized Riesz potentials ⋮ Boundary behavior of monotone Sobolev functions in Orlicz spaces on John domains in a metric space ⋮ Growth properties for Riesz potentials of functions in weighted variable \(L^{p(\cdot)}\) spaces ⋮ On the boundary limits of monotone Sobolev functions in variable exponent Orlicz spaces ⋮ On the radial limits of mappings on Riemannian manifolds ⋮ Growth properties of potentials in central Morrey–Orlicz spaces on the unit ball ⋮ Continuity properties of weakly monotone Orlicz-Sobolev functions ⋮ Bloch's theorem for mappings of bounded and finite distortion ⋮ UNIQUENESS THEOREMS FOR MAPPINGS OF FINITE DISTORTION ⋮ Spherical limits for Riesz potentials of functions in central generalized Orlicz-Morrey spaces on the unit ball ⋮ Lindelöf theorems for monotone Sobolev functions with variable exponent ⋮ Boundary limits of monotone Sobolev functions with variable exponent on uniform domains in a metric space ⋮ Functions monotone close to boundary ⋮ Boundary limits for bounded quasiregular mappings ⋮ Boundary limits of monotone Sobolev functions on metric spaces ⋮ Mappings of finite distortion: the Rickman-Picard theorem for mappings of finite lower order

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