The 𝐿^{𝑝}-integrability of the partial derivatives of a quasiconformal mapping

DOI10.1090/S0002-9904-1973-13218-5zbMath0258.30022OpenAlexW3021648654MaRDI QIDQ5673694

Frederick W. Gehring

Publication date: 1973

Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9904-1973-13218-5

Mathematics Subject Classification ID

Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane (30E20) Quasiconformal mappings in the complex plane (30C62)

Related Items (23)

Reverse dynamic inequalities and higher integrability theorems ⋮ Higher integrability of Green's operator and homotopy operator ⋮ Some further properties of discrete Muckenhoupt and Gehring weights ⋮ Self-improving properties of weighted Gehring classes with applications to partial differential equations ⋮ Some Orlicz norms inequalities for the composite operator \(T \circ d \circ H\) ⋮ Semigroups of certain classes of mappings ⋮ Some basic properties and fundamental relations for discrete Muckenhoupt and Gehring classes ⋮ Structure of a generalized class of weights satisfy weighted reverse Hölder's inequality ⋮ A higher integrability theorem from a reverse weighted inequality ⋮ Flatness properties of quasispheres ⋮ The weighted discrete Gehring classes, Muckenhoupt classes and their basic properties ⋮ Boundedness of both discrete Hardy and Hardy-Littlewood maximal operators via Muckenhoupt weights ⋮ Sobolev homeomorphisms and Brennan's conjecture ⋮ Properties of a generalized class of weights satisfying reverse Hölder's inequality ⋮ Pointwise gradient bounds for a class of very singular quasilinear elliptic equations ⋮ Sharp self-improving property of discrete Muckenhoupt and Gehring weights ⋮ Self-improving properties of a generalized Muckenhoupt class ⋮ On structure of discrete Muckenhoupt and discrete Gehring classes ⋮ On discrete weighted Hardy type inequalities and properties of weighted discrete Muckenhoupt classes ⋮ Higher Summability and Discrete Weighted Muckenhoupt and Gehring Type Inequalities ⋮ Discrete Hardy's type inequalities and structure of discrete class of weights satisfy reverse Hölder's inequality ⋮ The Kato problem for operators with weighted ellipticity ⋮ Higher integrability theorems on time scales from reverse Hölder's inequalities

Cites Work

• The L\(^p\)-integrability of the partial derivatives of a quasiconformal mapping
• On the existence of certain singular integrals

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