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Cauchy Integral of Calderón on the Graphs of Functions with BMO Derivatives
Published online by Cambridge University Press: 20 November 2018
Abstract
We first note that each graph (x,A(x)) of a function A(x) with BMO derivative is a chord-arc curve. Using this, Muckenhoupt's Ap theory, and the theory of Calderón-Zygmund operators, we shall derive weighted norm inequalities for the Cauchy integral on such graphs from a recent theorem of G. David on the L2-boundedness of Cauchy integral on almost-lipschitzian curves.
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- Copyright © Canadian Mathematical Society 1985