Global Lp -integrability of the derivative of a quasiconformal mapping

DOI10.1080/17476938808814275zbMath0601.30024OpenAlexW1986242906MaRDI QIDQ3736019

Olli Martio, J. Vaeisaelae

Publication date: 1988

Published in: Complex Variables, Theory and Application: An International Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476938808814275

zbMATH Keywords

quasiconformal mappingquasisymmetric function\(L^ p\)-integrability

Mathematics Subject Classification ID

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)

Related Items

Quasiconformal maps and Poincaré domains, Quasiconformal solutions to elliptic partial differential equations, On the functional properties of weak \((p, q)\)-quasiconformal homeomorphisms, Sobolev homeomorphisms and Brennan's conjecture, Quasiconformal mappings and global integrability of the derivative, Sobolev \(W_p^1\)-spaces on closed subsets of \(\mathbf R^n\), On Hardy-Type Inequalities