The Stieltjes integral along fractal curve

  • Boris A. Kats

Abstract

The present paper is dealing with an integral┬á over fractal non-rectifiable curve on the complex plane. In the introduction we observe its known indirect de´┐Żnitions. The Section 2 treats a direct definition, the existence theorems and some properties of the integral, and the next one concerns the Cauchy type integral along fractals. The final section consists of conjectures and open questions.
Published
2000-06-01
Section
Articoli