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Paper's Title:

Sharp Lp Improving Results for Singular Measures on Cn+1


E. Ferreyra, M. Urciuolo

Universidad Nacional de Córdoba-Conicet,
Ciudad Universitaria, 5000 Córdoba,


For j=1,...,n, let Ωj be open sets of the complex plane and let φj be holomorphic functions on Ωj such that φj'' does not vanish identically on Ωj. We consider φ(z1,...,zn) =φ1(z1) +...+φn(zn). We characterize the pairs (p,q) such that the convolution operator with the surface measure supported on a compact subset of the graph of φ is p-q bounded.

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