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Computational Methods and Function Theory 8 (2008), No. 1, 35--46
Copyright Heldermann Verlag 2008

Estimates for Singular Integral Operators

Peter C. Fenton
pfenton@math.otago.ac.nz , University of Otago, Department of Mathematics and Statistics, Dunedin, New Zealand.

John Rossi
rossi@math.vt.edu , Virginia Tech, Department of Mathematics, Blacksburg, VA 24061-0123, U.S.A.

[Abstract-pdf] [Abstract-ps]

Estimates are obtained for 0∞K(r,t)φ(t)dt, where K(r,t) may have a singularity at t=-r.

Keywords: Singular integral operator, subharmonic function.

MSC 2000: 47G10, 30D15.

[FullText-pdf (248 K)] [FullText-ps (422 K)]