Revista Matemática Iberoamericana

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Volume 11, Issue 1, 1995, pp. 103–123
DOI: 10.4171/RMI/167

Published online: 1995-04-30

Hiperbolic singular integral operators

Andrea R. Nahmod[1]

(1) University of Massachusetts, Amherst, USA

We define a class of integral operators which are singular relative to the hyperbolic metric on simply connected domains of the plane. We study the necessary and sufficient conditions for such operators to be bounded on $L^2$ of the upper half plane relative to the hyperbolic metric.

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Nahmod Andrea: Hiperbolic singular integral operators. Rev. Mat. Iberoam. 11 (1995), 103-123. doi: 10.4171/RMI/167