Abstract
The main goal of this paper is to present an alternative, real variable proof of the T(1)-theorem for the Cauchy integral. We then prove that the estimate from below of analytic capacity in terms of total Menger curvature is a direct consequence of the T(1)-theorem. An example shows that the L∞-BMO estimate for the Cauchy integral does not follow from L2 boundedness when the underlying measure is not doubling.
Citation
Joan Verdera. "On the T(1)-theorem for the Cauchy integral." Ark. Mat. 38 (1) 183 - 199, March 2000. https://doi.org/10.1007/BF02384497
Information