Аннотация:
We deal with some new results on some types of Beltrami equations. There is a new approach involving the new metric characteristics: the Marcinkiewicz exponents. Another vision is applying the Cauchy-type integral representation to such equations. One more idea is to obtain analogs of some classical theorems for such equations.
Ключевые слова:
fractals, non-rectifiable curves, boundary value problem, Riemann boundary value problem.
J. Bory-Reyes, D. Barseghyan, B. Schneider, “Dirichlet-Type Problems for Certain Beltrami Equations”, Mediterr. J. Math., 18:3 (2021)
Juan Bory-Reyes, Ricardo Abreu-Blaya, Marco Antonio Pérez-de la Rosa, Baruch Schneider, “Integral formulas of the Hilbert, Poincaré-Bertrand, Schwarz and Poisson type for the β–analytic function theory”, Journal of Mathematical Analysis and Applications, 492:2 (2020), 124493