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Showing 1 to 4 of 4 for “"Beurling-ahlfors"”.
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The Beurling-Ahlfors extension and Conformal welding
… in the chapter we define the so-called Beurlin-Ahlfors extension to quasisymmetric functions and show that this function is in fact quasiconformal. In the third chapter, we begin by introducing the fundamentals of Sobolev spaces and present some theorems that allow us to study the properties of …
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Martingales, Singular Integrals, and Fourier Multipliers
… have potential applications to the study of the Beurling-Ahlfors transform and are related to the celebrated conjecture of T. Iwaniec concerning its exact <em>Lp</em> norm.</p>
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Commutators and dyadic paraproducts on weighted Lebesgue spaces
… of the commutators of the Hilbert, Riesz and Beurling transforms with a BMO function b depends quadratically on the A2 characteristic of the weight, as opposed to the linear dependence known to hold for the operators themselves. It is known that the operator norms of these commutators can be …
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Articles on Potential Theory, Functional Analysis and Hankel Forms
… integral transform bearing similarities to the Beurling-Ahlfors transform in 2D. As an application, bounds for the spectrum of the Neumann-Poincaré operator are derived from recent results in quasi-conformal mapping theory, in the case of planar curves with corners. Paper II: Perfekt, K.-M., …