Geodesic
Cauchy Integral of Calderón on the Graphs of Functions with BMO Derivatives
Canadian mathematical bulletin, Tome 28 (1985) no. 4, pp. 495-500

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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.
DOI : 10.4153/CMB-1985-062-6
Mots-clés : 42B20 
Yabuta, Kôzô. Cauchy Integral of Calderón on the Graphs of Functions with BMO Derivatives. Canadian mathematical bulletin, Tome 28 (1985) no. 4, pp. 495-500. doi: 10.4153/CMB-1985-062-6
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     author = {Yabuta, K\^oz\^o},
     title = {Cauchy {Integral} of {Calder\'on} on the {Graphs} of {Functions} with {BMO} {Derivatives}},
     journal = {Canadian mathematical bulletin},
     pages = {495--500},
     year = {1985},
     volume = {28},
     number = {4},
     doi = {10.4153/CMB-1985-062-6},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1985-062-6/}
}
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