Sharp L Improving Results for Singular Measures on C
نویسندگان
چکیده
For j = 1, ..., n, letΩj be open sets of the complex plane and let φj be holomorphic functions on Ωj such that φ′′ j 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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