Boundary Value Problems for Functions Analytic on Multiply Connected Domains on Spaces with a General Weight

D. Kurtz (), Yu. Latushkin () and I. Spitkovsky ()
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D. Kurtz: Rollins College, Department of Mathematics
Yu. Latushkin: University of Missouri, Department of Mathematics
I. Spitkovsky: College of William and Mary, Department of Mathematics

A chapter in Algebraic Methods in Operator Theory, 1994, pp 350-360 from Springer

Abstract: Abstract Necessary and sufficient conditions of Fredholmness, as well as index formulas, are obtained for differential boundary value problems with several unknown functions analytic on multiply connected domains. The complex conjugation and (forward or backward) shifts are involved in boundary conditions of above mentioned problems, and solutions are sought in weighted spaces with weights satisfying only the Hunt-Muckenhoupt-Wheeden condition. The results are of an explicit nature in the case of piecewise continuous coefficients.

Keywords: Singular Integral Equation; Connected Domain; Weighted Space; Singular Integral Operator; Fredholm Operator (search for similar items in EconPapers)
Date: 1994
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4612-0255-4_33

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DOI: 10.1007/978-1-4612-0255-4_33

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