• Daneshyari
  • Topics
    • Physical Sciences and Engineering
      Life Sciences
      Health Sciences
      Social Sciences and Humanities
Physical Sciences and Engineering Mathematics Analysis

Sharp bounds for composition with quasiconformal mappings in Sobolev spaces

Article ID Journal Published Year Pages File Type
5775005 Journal of Mathematical Analysis and Applications 2017 19 Pages PDF
Abstract
Let ϕ be a quasiconformal mapping, and let Tϕ be the composition operator which maps f to f∘ϕ. Since ϕ may not be bi-Lipschitz, the composition operator need not map Sobolev spaces to themselves. The study begins with the behavior of Tϕ on Lp and W1,p for 1
Keywords
Composition operatorSobolev spacesQuasiconformal mappings
Related Topics
Physical Sciences and Engineering Mathematics Analysis
Preview
Sharp bounds for composition with quasiconformal mappings in Sobolev spaces
Authors
Marcos Oliva, Martí Prats,
Related Articles
Discrete spectra of compactly perturbed bounded operators
Novel implicit/explicit local conservative schemes for the regularized long-wave equation and convergence analysis
Conical square functions associated with Bessel, Laguerre and Schrödinger operators in UMD Banach spaces
Unique conditional expectations for abelian C⁎-inclusions
Characterization of the potential smoothness of one-dimensional Dirac operator subject to general boundary conditions and its Riesz basis property
Infinite-dimensional features of matrices and pseudospectra
An exact estimate result for a semilinear equation with critical exponent and prescribed singularity
Angle geometry in asymptotic Teichmüller spaces
On the radial solutions of a system with weights under the Keller–Osserman condition
An anisotropic Mumford–Shah model
Journal
Journal of Mathematical Analysis and Applications
Journal: Journal of Mathematical Analysis and Applications
Related Categories
Composition operator
Sobolev spaces
Quasiconformal mappings
Algebra and Number Theory
Analysis
Applied Mathematics
Computational Mathematics
Control and Optimization
Discrete Mathematics and Combinatorics
Geometry and Topology
Logic
Mathematical Physics
Mathematics (General)
Modelling and Simulation
Numerical Analysis
Statistics and Probability
Theoretical Computer Science
Related Journals
Nonlinear Analysis: Real World Applications
Nonlinear Analysis: Theory, Methods & Applications
Nonlinear Analysis: Hybrid Systems
Expositiones Mathematicae
Journal of Functional Analysis
Annales de l'Institut Henri Poincare (C) Non Linear Analysis
Applied and Computational Harmonic Analysis
Differential Geometry and its Applications
Journal of Approximation Theory
Journal of Complexity
Journal of Differential Equations
Transactions of A. Razmadze Mathematical Institute
Daneshyari provides fulltext access to millions of research papers.