Behavior of Cauchy-Stieltjes Type Integral Transforms on a Boundary of Bicylindric Domain

Abstract

Under the most general assumptions on the density f and the curve \gamma^k , a behavior of the Cauchy-Stieltjes type integral is studied near a boundary of bicylindric domain in terms of the continuity modulus and the characteristic \,\Theta^\psi (\delta) of the curve \gamma^k,\; (k = 1, 2) . Sokhotskii type formula is given in this situation for limiting values of the Cauchy-Stieltjes type integral.

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DOI

10.1080/10652460212895

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