×

Singular integral equations and the Riemann boundary value problem with infinite index in the space \(L_ p(\Gamma,\omega)\). (Russian) Zbl 0575.45006

From the text: In the space \(L_ p(\Gamma,\omega)\) the Riemann boundary value problem \(\phi^+-a\phi^-=f\) on the closed curve \(\Gamma\) is studied. It is assumed that the bounded measurable non-degenerated coefficient a(t) has discontinuities of the second kind at a finite number of points of \(\Gamma\), in neighborhoods of these points the function arg a(t) receives infinity increases. \(\{\) For the entire collection see the author and V.B. Dybin, The Riemann boundary value problem in the space \(L_ p(\Gamma,\rho)\) with almost periodic discontinuities and its coefficients, Mat. Issled 54, 36-49 (1980)\(\}\).
Reviewer: Z.Binderman

MSC:

45E05 Integral equations with kernels of Cauchy type
30E25 Boundary value problems in the complex plane
PDFBibTeX XMLCite