Abstract:
The Marcinkiewicz exponents that were introduced by author before are applied here to solving boundary value jump problem on non-rectifiable curve for one special case of the Beltrami equation.
Citation:
D. B. Katz, “Marcinkiewicz exponents and a boundary-value jump problem for Beltrami equation”, Izv. Vyssh. Uchebn. Zaved. Mat., 2017, no. 6, 44–51; Russian Math. (Iz. VUZ), 61:6 (2017), 37–43
This publication is cited in the following 3 articles:
J. Bory-Reyes, D. Barseghyan, B. Schneider, “Dirichlet-type problems for certain beltrami equations”, Mediterr. J. Math., 18:3 (2021), 103
J. Bory-Reyes, R. Abreu-Blaya, Perez-, M. A. Rosa, B. Schneider, “Integral formulas of the Hilbert, Poincare-Bertrand, Schwarz and Poisson type for the beta-analytic function theory”, J. Math. Anal. Appl., 492:2 (2020), 124493
D. B. Katz, “Beltrami equations revisited: Marcinkiewicz exponents and Painleve-type theorem”, Probl. anal. Issues Anal., 7(25), spetsvypusk (2018), 40–49