On a Riemann Boundary Value Problem in the Space of p-Summable Functions with Infinite Index

摘要

The paper considers the Riemann boundary value problem in the half-plane in the space L~p(ρ), where weight function ρ(ⅹ) has infinite number of zeros. A necessary and sufficient condition is obtained for the normal solvability and Noetherianness of the considered problem. If the problem is solvable, solutions are represented in an explicit form.